﻿25:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.º BG:@0.837761:0.967458:0.879897:0.967458:0.879897:0.954794:0.837761:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.096359:0.542440:0.110585:0.542440:0.110585:0.525539:0.096359:0.525539:0.000000:0.000000
  Resolvemos la ecuación::@0.110585:0.542440:0.303285:0.542440:0.303285:0.526051:0.110585:0.526051:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.301661:0.563863:0.315574:0.563863:0.315574:0.547474:0.301661:0.547474:0.000000:0.000000
ln 3:@0.390390:0.563863:0.421128:0.563858:0.421128:0.547469:0.390390:0.547474:0.000000:0.000000:0.000000:0.000000
ln 2:@0.443481:0.563863:0.474199:0.563858:0.474199:0.547469:0.443481:0.547474:0.000000:0.000000:0.000000:0.000000
−−:@0.323969:0.563443:0.355978:0.563443:0.355978:0.546501:0.323969:0.546501:0.000000:0.000000
(:@0.316325:0.565192:0.322461:0.565192:0.322461:0.543540:0.316325:0.543540:0.000000
):@0.369562:0.565192:0.375698:0.565192:0.375698:0.543540:0.369562:0.543540:0.000000
+:@0.378257:0.563443:0.388373:0.563443:0.388373:0.546501:0.378257:0.546501:0.000000
():@0.405060:0.565192:0.427837:0.565192:0.427837:0.543540:0.405060:0.543540:0.000000:0.000000
=:@0.431027:0.563443:0.441143:0.563443:0.441143:0.546501:0.431027:0.546501:0.000000
−:@0.476469:0.563443:0.486586:0.563443:0.486586:0.546501:0.476469:0.546501:0.000000
(:@0.458144:0.565192:0.464280:0.565192:0.464280:0.543540:0.458144:0.543540:0.000000
):@0.500177:0.565192:0.506314:0.565192:0.506314:0.543540:0.500177:0.543540:0.000000
4:@0.334020:0.563858:0.343013:0.563858:0.343013:0.547469:0.334020:0.547469:0.000000
x:@0.359671:0.563858:0.367135:0.563858:0.367135:0.547497:0.359671:0.547497:0.000000
x:@0.490287:0.563858:0.497750:0.563858:0.497750:0.547497:0.490287:0.547497:0.000000
 :@0.096359:0.584434:0.100395:0.584434:0.100395:0.568045:0.096359:0.568045:0.000000
Aplicamos propiedades de los logaritmos, escribimos en notación exponencial, :@0.124852:0.584434:0.716523:0.584434:0.716523:0.568045:0.124852:0.568045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igualamos bases y resolvemos la ecuación resultante.:@0.124848:0.601030:0.513664:0.601030:0.513664:0.584641:0.124848:0.584641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ln:@0.188589:0.624528:0.202502:0.624528:0.202502:0.608139:0.188589:0.608139:0.000000:0.000000
ln 2:@0.288320:0.624528:0.319042:0.624530:0.319042:0.608141:0.288320:0.608139:0.000000:0.000000:0.000000:0.000000
;        e:@0.352761:0.624528:0.399696:0.624530:0.399696:0.608141:0.352761:0.608139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
;     :@0.492959:0.624528:0.518849:0.624530:0.518849:0.608141:0.492959:0.608139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( 3 4:@0.527511:0.624528:0.552373:0.624530:0.552373:0.608141:0.527511:0.608139:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.578297:0.624528:0.583180:0.624528:0.583180:0.608139:0.578297:0.608139:0.000000
−−:@0.210887:0.624113:0.242896:0.624113:0.242896:0.607171:0.210887:0.607171:0.000000:0.000000
(:@0.203253:0.625865:0.209389:0.625865:0.209389:0.604213:0.203253:0.604213:0.000000
):@0.256490:0.625865:0.262626:0.625865:0.262626:0.604213:0.256490:0.604213:0.000000
=:@0.275864:0.624115:0.285981:0.624115:0.285981:0.607173:0.275864:0.607173:0.000000
−:@0.321307:0.624115:0.331424:0.624115:0.331424:0.607173:0.321307:0.607173:0.000000
(:@0.302981:0.625865:0.309118:0.625865:0.309118:0.604213:0.302981:0.604213:0.000000
):@0.345015:0.625865:0.351151:0.625865:0.351151:0.604213:0.345015:0.604213:0.000000
=:@0.442969:0.624115:0.453086:0.624115:0.453086:0.607173:0.442969:0.607173:0.000000
− −:@0.533320:0.624115:0.565329:0.624115:0.565329:0.607173:0.533320:0.607173:0.000000:0.000000:0.000000
=:@0.586152:0.624115:0.596269:0.624115:0.596269:0.607173:0.586152:0.607173:0.000000
−:@0.617516:0.624115:0.627633:0.624115:0.627633:0.607173:0.617516:0.607173:0.000000
−−:@0.409465:0.615999:0.427054:0.615999:0.427054:0.606180:0.409465:0.606180:0.000000:0.000000
(:@0.405067:0.617003:0.408623:0.617003:0.408623:0.604444:0.405067:0.604444:0.000000
):@0.433966:0.617003:0.437523:0.617003:0.437523:0.604444:0.433966:0.604444:0.000000
−:@0.474432:0.615999:0.480295:0.615999:0.480295:0.606180:0.474432:0.606180:0.000000
(:@0.464748:0.617003:0.468304:0.617003:0.468304:0.604444:0.464748:0.604444:0.000000
):@0.487207:0.617003:0.490763:0.617003:0.490763:0.604444:0.487207:0.604444:0.000000
4:@0.220948:0.624530:0.229941:0.624530:0.229941:0.608141:0.220948:0.608141:0.000000
3:@0.263977:0.624530:0.272969:0.624530:0.272969:0.608141:0.263977:0.608141:0.000000
2:@0.606255:0.624530:0.615248:0.624530:0.615248:0.608141:0.606255:0.608141:0.000000
34:@0.399780:0.616239:0.420488:0.616239:0.420488:0.606741:0.399780:0.606741:0.000000:0.000000
2:@0.468835:0.616239:0.474046:0.616239:0.474046:0.606741:0.468835:0.606741:0.000000
x:@0.246599:0.624530:0.254063:0.624530:0.254063:0.608169:0.246599:0.608169:0.000000
x:@0.335126:0.624530:0.342589:0.624530:0.342589:0.608169:0.335126:0.608169:0.000000
e:@0.456266:0.624530:0.464061:0.624530:0.464061:0.608169:0.456266:0.608169:0.000000
x:@0.569024:0.624530:0.576488:0.624530:0.576488:0.608169:0.569024:0.608169:0.000000
x:@0.631328:0.624530:0.638792:0.624530:0.638792:0.608169:0.631328:0.608169:0.000000
x:@0.428259:0.616239:0.432584:0.616239:0.432584:0.606757:0.428259:0.606757:0.000000
x:@0.481497:0.616239:0.485823:0.616239:0.485823:0.606757:0.481497:0.606757:0.000000
( (:@0.599185:0.625865:0.605322:0.625865:0.605322:0.604213:0.599185:0.604213:0.000000:0.000000:0.000000
):@0.641219:0.625865:0.647355:0.625865:0.647355:0.604213:0.641219:0.604213:0.000000
−:@0.189747:0.647139:0.199864:0.647139:0.199864:0.630197:0.189747:0.630197:0.000000
−:@0.219950:0.647139:0.230067:0.647139:0.230067:0.630197:0.219950:0.630197:0.000000
=−:@0.254354:0.647139:0.288759:0.647139:0.288759:0.630197:0.254354:0.630197:0.000000:0.000000
=−:@0.402291:0.647139:0.426026:0.647139:0.426026:0.630197:0.402291:0.630197:0.000000:0.000000
=−:@0.498244:0.647139:0.521979:0.647139:0.521979:0.630197:0.498244:0.630197:0.000000:0.000000
12 3:@0.199790:0.647554:0.241344:0.647554:0.241344:0.631165:0.199790:0.631165:0.000000:0.000000:0.000000:0.000000
2:@0.267382:0.647554:0.276375:0.647554:0.276375:0.631165:0.267382:0.631165:0.000000
2:@0.380289:0.647554:0.389281:0.647554:0.389281:0.631165:0.380289:0.631165:0.000000
14;         :@0.425934:0.647554:0.486082:0.647554:0.486082:0.631165:0.425934:0.631165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7;    :@0.521887:0.647554:0.552698:0.647554:0.552698:0.631165:0.521887:0.631165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.242137:0.647554:0.249600:0.647554:0.249600:0.631193:0.242137:0.631193:0.000000
x:@0.292444:0.647554:0.299907:0.647554:0.299907:0.631193:0.292444:0.631193:0.000000
x:@0.390074:0.647554:0.397537:0.647554:0.397537:0.631193:0.390074:0.631193:0.000000
x:@0.486026:0.647554:0.493490:0.647554:0.493490:0.631193:0.486026:0.631193:0.000000
S:@0.552679:0.647554:0.560750:0.647554:0.560750:0.631193:0.552679:0.631193:0.000000
;                  :@0.301400:0.647554:0.379754:0.647554:0.379754:0.631165:0.301400:0.631165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
= =−:@0.564878:0.647139:0.595929:0.647139:0.595929:0.630197:0.564878:0.630197:0.000000:0.000000:0.000000:0.000000
{}:@0.577041:0.648889:0.612643:0.648889:0.612643:0.627237:0.577041:0.627237:0.000000:0.000000
7:@0.595887:0.647554:0.604880:0.647554:0.604880:0.631165:0.595887:0.631165:0.000000
3.:@0.096351:0.670291:0.110577:0.670291:0.110577:0.653390:0.096351:0.653390:0.000000:0.000000
  Resolvemos la ecuación logarítmica.:@0.110577:0.670291:0.390050:0.670291:0.390050:0.653902:0.110577:0.653902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 4:@0.289933:0.692973:0.338667:0.692964:0.338667:0.676575:0.289933:0.676584:0.000000:0.000000:0.000000:0.000000:0.000000
log 2:@0.420757:0.692964:0.468917:0.692964:0.468917:0.676575:0.420757:0.676575:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.313393:0.694968:0.318605:0.694968:0.318605:0.685470:0.313393:0.685470:0.000000
2:@0.444219:0.694968:0.449430:0.694968:0.449430:0.685470:0.444219:0.685470:0.000000
1:@0.480969:0.685302:0.486181:0.685302:0.486181:0.675804:0.480969:0.675804:0.000000
4:@0.363121:0.692964:0.372113:0.692964:0.372113:0.676575:0.363121:0.676575:0.000000
3:@0.501755:0.692964:0.510748:0.692964:0.510748:0.676575:0.501755:0.676575:0.000000
x:@0.339778:0.685302:0.344103:0.685302:0.344103:0.675820:0.339778:0.675820:0.000000
x:@0.469450:0.685302:0.473776:0.685302:0.473776:0.675820:0.469450:0.675820:0.000000
x:@0.397051:0.692964:0.404514:0.692964:0.404514:0.676603:0.397051:0.676603:0.000000
+:@0.349821:0.692549:0.359938:0.692549:0.359938:0.675607:0.349821:0.675607:0.000000
(:@0.322084:0.695936:0.328221:0.695936:0.328221:0.669320:0.322084:0.669320:0.000000
):@0.373276:0.695936:0.379412:0.695936:0.379412:0.669320:0.373276:0.669320:0.000000
=+:@0.382602:0.692549:0.418739:0.692549:0.418739:0.675607:0.382602:0.675607:0.000000:0.000000
−:@0.489353:0.692549:0.499470:0.692549:0.499470:0.675607:0.489353:0.675607:0.000000
(:@0.452909:0.695936:0.459045:0.695936:0.459045:0.669320:0.452909:0.669320:0.000000
):@0.511343:0.695936:0.517479:0.695936:0.517479:0.669320:0.511343:0.669320:0.000000
+:@0.475211:0.685061:0.481074:0.685061:0.481074:0.675242:0.475211:0.675242:0.000000
cción y expresión:@0.117728:0.231780:0.242599:0.231780:0.242599:0.216415:0.117728:0.216415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A:@0.096132:0.232565:0.108221:0.232565:0.108221:0.215430:0.096132:0.215430:0.000000
Ejemplos paso a paso:@0.096547:0.257879:0.251440:0.257879:0.251440:0.242515:0.096547:0.242515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.096547:0.285482:0.110773:0.285482:0.110773:0.268581:0.096547:0.268581:0.000000:0.000000
  Resolvamos la ecuación logarítmica.:@0.110773:0.285482:0.389804:0.285482:0.389804:0.269093:0.110773:0.269093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.304374:0.306905:0.328212:0.306900:0.328212:0.290511:0.304374:0.290516:0.000000:0.000000:0.000000
g:@0.415191:0.306900:0.425215:0.306900:0.425215:0.290511:0.415191:0.290511:0.000000
3:@0.327820:0.308904:0.333032:0.308904:0.333032:0.299405:0.327820:0.299405:0.000000
3:@0.424823:0.308904:0.430035:0.308904:0.430035:0.299405:0.424823:0.299405:0.000000
3:@0.369282:0.306900:0.378275:0.306900:0.378275:0.290511:0.369282:0.290511:0.000000
1:@0.464830:0.306900:0.473822:0.306900:0.473822:0.290511:0.464830:0.290511:0.000000
2:@0.494193:0.306900:0.503186:0.306900:0.503186:0.290511:0.494193:0.290511:0.000000
x:@0.344985:0.306900:0.352448:0.306900:0.352448:0.290538:0.344985:0.290538:0.000000
lo:@0.400526:0.306900:0.413462:0.306900:0.413462:0.290538:0.400526:0.290538:0.000000:0.000000
x:@0.441988:0.306900:0.449451:0.306900:0.449451:0.290538:0.441988:0.290538:0.000000
+:@0.356557:0.306485:0.366674:0.306485:0.366674:0.289543:0.356557:0.289543:0.000000
(:@0.336511:0.308235:0.342648:0.308235:0.342648:0.286583:0.336511:0.286583:0.000000
):@0.378858:0.308235:0.384994:0.308235:0.384994:0.286583:0.378858:0.286583:0.000000
+:@0.387552:0.306485:0.397669:0.306485:0.397669:0.289543:0.387552:0.289543:0.000000
− =:@0.453560:0.306485:0.491273:0.306485:0.491273:0.289543:0.453560:0.289543:0.000000:0.000000:0.000000
(:@0.433518:0.308235:0.439654:0.308235:0.439654:0.286583:0.433518:0.286583:0.000000
):@0.471847:0.308235:0.477984:0.308235:0.477984:0.286583:0.471847:0.286583:0.000000
Paso 1.:@0.102309:0.718048:0.154560:0.718048:0.154560:0.702470:0.102309:0.702470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos propiedades de logaritmo.:@0.154560:0.718048:0.408688:0.718048:0.408688:0.703149:0.154560:0.703149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 4:@0.104052:0.739460:0.147906:0.739460:0.147906:0.724710:0.104052:0.724710:0.000000:0.000000:0.000000:0.000000:0.000000
log 2:@0.198669:0.739460:0.235684:0.739460:0.235684:0.724710:0.198669:0.724710:0.000000:0.000000:0.000000:0.000000:0.000000
log 2:@0.256136:0.739460:0.299486:0.739460:0.299486:0.724710:0.256136:0.724710:0.000000:0.000000:0.000000:0.000000:0.000000
log 4:@0.104052:0.764425:0.147906:0.764425:0.147906:0.749675:0.104052:0.749675:0.000000:0.000000:0.000000:0.000000:0.000000
log 22:@0.198669:0.764425:0.265891:0.764425:0.265891:0.749675:0.198669:0.749675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.125160:0.741264:0.129850:0.741264:0.129850:0.732715:0.125160:0.732715:0.000000
2:@0.219767:0.741264:0.224458:0.741264:0.224458:0.732715:0.219767:0.732715:0.000000
2:@0.277255:0.741264:0.281946:0.741264:0.281946:0.732715:0.277255:0.732715:0.000000
1:@0.310329:0.732564:0.315019:0.732564:0.315019:0.724016:0.310329:0.724016:0.000000
2:@0.125160:0.766229:0.129850:0.766229:0.129850:0.757680:0.125160:0.757680:0.000000
2:@0.219767:0.766229:0.224458:0.766229:0.224458:0.757680:0.219767:0.757680:0.000000
1:@0.276736:0.757529:0.281427:0.757529:0.281427:0.748980:0.276736:0.748980:0.000000
4:@0.169915:0.739460:0.178008:0.739460:0.178008:0.724710:0.169915:0.724710:0.000000
3 4:@0.329031:0.739460:0.349391:0.739444:0.349391:0.724694:0.329031:0.724710:0.000000:0.000000:0.000000
4:@0.169915:0.764425:0.178008:0.764425:0.178008:0.749675:0.169915:0.749675:0.000000
3:@0.295445:0.764425:0.303539:0.764425:0.303539:0.749675:0.295445:0.749675:0.000000
x:@0.148906:0.732564:0.152799:0.732564:0.152799:0.724030:0.148906:0.724030:0.000000
x:@0.236161:0.732564:0.240054:0.732564:0.240054:0.724030:0.236161:0.724030:0.000000
x:@0.299963:0.732564:0.303856:0.732564:0.303856:0.724030:0.299963:0.724030:0.000000
x:@0.148906:0.757531:0.152799:0.757531:0.152799:0.748997:0.148906:0.748997:0.000000
x:@0.243514:0.757531:0.247407:0.757531:0.247407:0.748997:0.243514:0.748997:0.000000
x:@0.266371:0.757531:0.270263:0.757531:0.270263:0.748997:0.266371:0.748997:0.000000
+:@0.157952:0.739087:0.167058:0.739087:0.167058:0.723839:0.157952:0.723839:0.000000
(:@0.132981:0.742135:0.138504:0.742135:0.138504:0.718181:0.132981:0.718181:0.000000
):@0.179054:0.742135:0.184577:0.742135:0.184577:0.718181:0.179054:0.718181:0.000000
=:@0.187448:0.739087:0.196554:0.739087:0.196554:0.723839:0.187448:0.723839:0.000000
+:@0.245214:0.739087:0.254319:0.739087:0.254319:0.723839:0.245214:0.723839:0.000000
−:@0.317872:0.739087:0.326977:0.739087:0.326977:0.723839:0.317872:0.723839:0.000000
(:@0.285073:0.742135:0.290596:0.742135:0.290596:0.718181:0.285073:0.718181:0.000000
):@0.337664:0.742135:0.343186:0.742135:0.343186:0.718181:0.337664:0.718181:0.000000
+:@0.157952:0.764052:0.167058:0.764052:0.167058:0.748804:0.157952:0.748804:0.000000
(:@0.132981:0.767101:0.138504:0.767101:0.138504:0.743147:0.132981:0.743147:0.000000
):@0.179054:0.767101:0.184577:0.767101:0.184577:0.743147:0.179054:0.743147:0.000000
=:@0.187448:0.764052:0.196554:0.764052:0.196554:0.748804:0.187448:0.748804:0.000000
−:@0.284271:0.764052:0.293376:0.764052:0.293376:0.748804:0.284271:0.748804:0.000000
(:@0.251479:0.767101:0.257002:0.767101:0.257002:0.743147:0.251479:0.743147:0.000000
):@0.304070:0.767101:0.309593:0.767101:0.309593:0.743147:0.304070:0.743147:0.000000
:@0.228344:0.762532:0.234713:0.762532:0.234713:0.747284:0.228344:0.747284:0.000000
:@0.228344:0.769851:0.234713:0.769851:0.234713:0.754603:0.228344:0.754603:0.000000
:@0.310141:0.762532:0.316510:0.762532:0.316510:0.747284:0.310141:0.747284:0.000000
+:@0.305144:0.732348:0.310421:0.732348:0.310421:0.723511:0.305144:0.723511:0.000000
+:@0.271551:0.757315:0.276828:0.757315:0.276828:0.748478:0.271551:0.748478:0.000000
 :@0.310138:0.769852:0.316507:0.769852:0.316507:0.754604:0.310138:0.754604:0.000000:0.000000:0.000000
;   :@0.346559:0.739849:0.360481:0.739849:0.360481:0.724950:0.346559:0.724950:0.000000:0.000000:0.000000:0.000000
log 4:@0.362223:0.714979:0.406078:0.714979:0.406078:0.700229:0.362223:0.700229:0.000000:0.000000:0.000000:0.000000:0.000000
log 2:@0.456840:0.714979:0.493861:0.714979:0.493861:0.700229:0.456840:0.700229:0.000000:0.000000:0.000000:0.000000:0.000000
log 2:@0.514306:0.714979:0.557663:0.714979:0.557663:0.700229:0.514306:0.700229:0.000000:0.000000:0.000000:0.000000:0.000000
log 4 2:@0.362223:0.739946:0.402446:0.739444:0.402446:0.724694:0.362223:0.725195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log 22:@0.456840:0.739946:0.524062:0.739946:0.524062:0.725195:0.456840:0.725195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.383331:0.716783:0.388021:0.716783:0.388021:0.708234:0.383331:0.708234:0.000000
2:@0.477939:0.716783:0.482629:0.716783:0.482629:0.708234:0.477939:0.708234:0.000000
2:@0.535426:0.716783:0.540117:0.716783:0.540117:0.708234:0.535426:0.708234:0.000000
1:@0.568500:0.708083:0.573190:0.708083:0.573190:0.699535:0.568500:0.699535:0.000000
2:@0.383331:0.741749:0.388021:0.741749:0.388021:0.733201:0.383331:0.733201:0.000000
2:@0.477939:0.741749:0.482629:0.741749:0.482629:0.733201:0.477939:0.733201:0.000000
1:@0.534907:0.733049:0.539598:0.733049:0.539598:0.724501:0.534907:0.724501:0.000000
4:@0.428086:0.714979:0.436179:0.714979:0.436179:0.700229:0.428086:0.700229:0.000000
3:@0.587201:0.714979:0.595294:0.714979:0.595294:0.700229:0.587201:0.700229:0.000000
43 2:@0.428086:0.739946:0.460393:0.739444:0.460393:0.724694:0.428086:0.725195:0.000000:0.000000:0.000000:0.000000
3:@0.553617:0.739946:0.561710:0.739946:0.561710:0.725195:0.553617:0.725195:0.000000
x:@0.407077:0.708085:0.410970:0.708085:0.410970:0.699551:0.407077:0.699551:0.000000
x:@0.494332:0.708085:0.498225:0.708085:0.498225:0.699551:0.494332:0.699551:0.000000
x:@0.558135:0.708085:0.562027:0.708085:0.562027:0.699551:0.558135:0.699551:0.000000
x x:@0.407077:0.733050:0.411761:0.732549:0.411761:0.724015:0.407077:0.724516:0.000000:0.000000:0.000000
x:@0.501685:0.733050:0.505578:0.733050:0.505578:0.724516:0.501685:0.724516:0.000000
x:@0.524542:0.733050:0.528435:0.733050:0.528435:0.724516:0.524542:0.724516:0.000000
+:@0.416124:0.714606:0.425229:0.714606:0.425229:0.699358:0.416124:0.699358:0.000000
(:@0.391153:0.717656:0.396675:0.717656:0.396675:0.693701:0.391153:0.693701:0.000000
):@0.437225:0.717656:0.442748:0.717656:0.442748:0.693701:0.437225:0.693701:0.000000
=:@0.445618:0.714606:0.454723:0.714606:0.454723:0.699358:0.445618:0.699358:0.000000
+:@0.503383:0.714606:0.512488:0.714606:0.512488:0.699358:0.503383:0.699358:0.000000
−:@0.576041:0.714606:0.585146:0.714606:0.585146:0.699358:0.576041:0.699358:0.000000
(:@0.543243:0.717656:0.548765:0.717656:0.548765:0.693701:0.543243:0.693701:0.000000
):@0.595833:0.717656:0.601356:0.717656:0.601356:0.693701:0.595833:0.693701:0.000000
+−:@0.416124:0.739572:0.434882:0.739070:0.434882:0.723823:0.416124:0.724324:0.000000:0.000000
(:@0.391153:0.742621:0.396675:0.742621:0.396675:0.718666:0.391153:0.718666:0.000000
)( ):@0.437225:0.742621:0.473935:0.742120:0.473935:0.718166:0.437225:0.718666:0.000000:0.000000:0.000000:0.000000
=:@0.445618:0.739572:0.454723:0.739572:0.454723:0.724324:0.445618:0.724324:0.000000
−:@0.542440:0.739572:0.551546:0.739572:0.551546:0.724324:0.542440:0.724324:0.000000
(:@0.509649:0.742621:0.515172:0.742621:0.515172:0.718666:0.509649:0.718666:0.000000
):@0.562240:0.742621:0.567762:0.742621:0.567762:0.718666:0.562240:0.718666:0.000000
:@0.486516:0.738051:0.492884:0.738051:0.492884:0.722803:0.486516:0.722803:0.000000
:@0.486516:0.745370:0.492884:0.745370:0.492884:0.730122:0.486516:0.730122:0.000000
:@0.568312:0.738051:0.574681:0.738051:0.574681:0.722803:0.568312:0.722803:0.000000
+:@0.563315:0.707868:0.568592:0.707868:0.568592:0.699031:0.563315:0.699031:0.000000
+:@0.529722:0.732833:0.534999:0.732833:0.534999:0.723996:0.529722:0.723996:0.000000
 :@0.568309:0.745371:0.574678:0.745371:0.574678:0.730123:0.568309:0.730123:0.000000:0.000000:0.000000
Paso 2.:@0.102309:0.762598:0.154560:0.762598:0.154560:0.747020:0.102309:0.747020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos en forma exponencial, igualamos bases, operamos.:@0.154560:0.762598:0.572708:0.762598:0.572708:0.747699:0.154560:0.747699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.105089:0.783994:0.113182:0.783994:0.113182:0.769244:0.105089:0.769244:0.000000
4 2:@0.135190:0.783994:0.166237:0.783994:0.166237:0.769244:0.135190:0.769244:0.000000:0.000000:0.000000
3 2:@0.200734:0.783994:0.224185:0.783994:0.224185:0.769244:0.200734:0.769244:0.000000:0.000000:0.000000
2:@0.104570:0.806980:0.112664:0.806980:0.112664:0.792230:0.104570:0.792230:0.000000
4 2:@0.139100:0.806980:0.169019:0.806980:0.169019:0.792230:0.139100:0.792230:0.000000:0.000000:0.000000
3 2:@0.203798:0.806980:0.231644:0.806980:0.231644:0.792230:0.203798:0.792230:0.000000:0.000000:0.000000
0:@0.253469:0.806980:0.261563:0.806980:0.261563:0.792230:0.253469:0.792230:0.000000
2:@0.104587:0.827319:0.112680:0.827319:0.112680:0.812569:0.104587:0.812569:0.000000
2 2:@0.138321:0.827319:0.166150:0.827319:0.166150:0.812569:0.138321:0.812569:0.000000:0.000000:0.000000
3 2:@0.192072:0.827319:0.219902:0.827319:0.219902:0.812569:0.192072:0.812569:0.000000:0.000000:0.000000
4 0:@0.241396:0.827319:0.272443:0.827319:0.272443:0.812569:0.241396:0.812569:0.000000:0.000000:0.000000
2:@0.104570:0.847657:0.112664:0.847657:0.112664:0.832907:0.104570:0.832907:0.000000
3 2:@0.138304:0.847657:0.166141:0.847645:0.166141:0.832895:0.138304:0.832907:0.000000:0.000000:0.000000
2:@0.166010:0.777099:0.170701:0.777099:0.170701:0.768551:0.166010:0.768551:0.000000
1:@0.182033:0.777099:0.186724:0.777099:0.186724:0.768551:0.182033:0.768551:0.000000
2:@0.112439:0.800084:0.117129:0.800084:0.117129:0.791536:0.112439:0.791536:0.000000
2:@0.168792:0.800084:0.173483:0.800084:0.173483:0.791536:0.168792:0.791536:0.000000
1:@0.184805:0.800084:0.189496:0.800084:0.189496:0.791536:0.184805:0.791536:0.000000
2:@0.112439:0.820417:0.117129:0.820417:0.117129:0.811869:0.112439:0.811869:0.000000
2:@0.165918:0.820417:0.170609:0.820417:0.170609:0.811869:0.165918:0.811869:0.000000
2:@0.112439:0.840753:0.117129:0.840753:0.117129:0.832204:0.112439:0.832204:0.000000
x:@0.114179:0.777098:0.118071:0.777098:0.118071:0.768564:0.114179:0.768564:0.000000
x:@0.171656:0.777098:0.175549:0.777098:0.175549:0.768564:0.171656:0.768564:0.000000
x:@0.224665:0.777098:0.228558:0.777098:0.228558:0.768564:0.224665:0.768564:0.000000
x:@0.118093:0.800084:0.121986:0.800084:0.121986:0.791550:0.118093:0.791550:0.000000
x:@0.174446:0.800084:0.178339:0.800084:0.178339:0.791550:0.174446:0.791550:0.000000
x:@0.232116:0.800084:0.236009:0.800084:0.236009:0.791550:0.232116:0.791550:0.000000
x:@0.118093:0.820417:0.121986:0.820417:0.121986:0.811883:0.118093:0.811883:0.000000
x:@0.171572:0.820417:0.175465:0.820417:0.175465:0.811883:0.171572:0.811883:0.000000
x:@0.220380:0.820417:0.224273:0.820417:0.224273:0.811883:0.220380:0.811883:0.000000
x:@0.118093:0.840753:0.121986:0.840753:0.121986:0.832219:0.118093:0.832219:0.000000
+=:@0.123228:0.783620:0.155519:0.783620:0.155519:0.768372:0.123228:0.768372:0.000000:0.000000
−:@0.189568:0.783620:0.198673:0.783620:0.198673:0.768372:0.189568:0.768372:0.000000
( ):@0.209781:0.786670:0.237727:0.786670:0.237727:0.762716:0.209781:0.762716:0.000000:0.000000:0.000000
+−:@0.127140:0.806606:0.158867:0.806606:0.158867:0.791358:0.127140:0.791358:0.000000:0.000000
+×:@0.192352:0.806606:0.222005:0.806606:0.222005:0.791358:0.192352:0.791358:0.000000:0.000000
=:@0.241725:0.806606:0.250830:0.806606:0.250830:0.791358:0.241725:0.791358:0.000000
−×:@0.127140:0.826939:0.156512:0.826939:0.156512:0.811692:0.127140:0.811692:0.000000:0.000000
+×:@0.180609:0.826939:0.210263:0.826939:0.210263:0.811692:0.180609:0.811692:0.000000:0.000000
+=:@0.229419:0.826939:0.261709:0.826939:0.261709:0.811692:0.229419:0.811692:0.000000:0.000000
−×:@0.127123:0.847278:0.156495:0.847278:0.156495:0.832030:0.127123:0.832030:0.000000:0.000000
+:@0.176848:0.776883:0.182124:0.776883:0.182124:0.768046:0.176848:0.768046:0.000000
+:@0.179627:0.799867:0.184904:0.799867:0.184904:0.791031:0.179627:0.791031:0.000000
2:@0.158048:0.847645:0.166141:0.847645:0.166141:0.832895:0.158048:0.832895:0.000000
4 0:@0.187353:0.847645:0.218400:0.847645:0.218400:0.832895:0.187353:0.832895:0.000000:0.000000:0.000000
x:@0.166622:0.840750:0.170515:0.840750:0.170515:0.832216:0.166622:0.832216:0.000000
−=:@0.175668:0.847271:0.207677:0.847271:0.207677:0.832023:0.175668:0.832023:0.000000:0.000000
4:@0.371399:0.739444:0.379492:0.739444:0.379492:0.724694:0.371399:0.724694:0.000000
2:@0.340783:0.762434:0.348877:0.762434:0.348877:0.747684:0.340783:0.747684:0.000000
4 2:@0.375313:0.762434:0.405232:0.762434:0.405232:0.747684:0.375313:0.747684:0.000000:0.000000:0.000000
3 2:@0.440011:0.762434:0.467857:0.762434:0.467857:0.747684:0.440011:0.747684:0.000000:0.000000:0.000000
0:@0.489682:0.762434:0.497776:0.762434:0.497776:0.747684:0.489682:0.747684:0.000000
2:@0.340780:0.782763:0.348873:0.782763:0.348873:0.768013:0.340780:0.768013:0.000000
2 2:@0.374513:0.782763:0.402343:0.782763:0.402343:0.768013:0.374513:0.768013:0.000000:0.000000:0.000000
3 2:@0.428265:0.782763:0.456094:0.782763:0.456094:0.768013:0.428265:0.768013:0.000000:0.000000:0.000000
4 0:@0.477588:0.782763:0.508635:0.782763:0.508635:0.768013:0.477588:0.768013:0.000000:0.000000:0.000000
2:@0.340763:0.803102:0.348857:0.803102:0.348857:0.788352:0.340763:0.788352:0.000000
3 2:@0.374497:0.803102:0.402350:0.803095:0.402350:0.788345:0.374497:0.788352:0.000000:0.000000:0.000000
2:@0.402219:0.732549:0.406910:0.732549:0.406910:0.724001:0.402219:0.724001:0.000000
1:@0.418242:0.732549:0.422932:0.732549:0.422932:0.724001:0.418242:0.724001:0.000000
2:@0.348644:0.755532:0.353334:0.755532:0.353334:0.746984:0.348644:0.746984:0.000000
2:@0.404997:0.755532:0.409687:0.755532:0.409687:0.746984:0.404997:0.746984:0.000000
1:@0.421010:0.755532:0.425701:0.755532:0.425701:0.746984:0.421010:0.746984:0.000000
2:@0.348648:0.775867:0.353339:0.775867:0.353339:0.767319:0.348648:0.767319:0.000000
2:@0.402128:0.775867:0.406818:0.775867:0.406818:0.767319:0.402128:0.767319:0.000000
2:@0.348648:0.796203:0.353339:0.796203:0.353339:0.787654:0.348648:0.787654:0.000000
x:@0.350391:0.732549:0.354283:0.732549:0.354283:0.724015:0.350391:0.724015:0.000000
x:@0.460877:0.732549:0.464770:0.732549:0.464770:0.724015:0.460877:0.724015:0.000000
x:@0.354303:0.755532:0.358195:0.755532:0.358195:0.746998:0.354303:0.746998:0.000000
x:@0.410656:0.755532:0.414549:0.755532:0.414549:0.746998:0.410656:0.746998:0.000000
x:@0.468326:0.755532:0.472219:0.755532:0.472219:0.746998:0.468326:0.746998:0.000000
x:@0.354302:0.775867:0.358195:0.775867:0.358195:0.767333:0.354302:0.767333:0.000000
x:@0.407782:0.775867:0.411674:0.775867:0.411674:0.767333:0.407782:0.767333:0.000000
x:@0.456590:0.775867:0.460483:0.775867:0.460483:0.767333:0.456590:0.767333:0.000000
x:@0.354302:0.796203:0.358195:0.796203:0.358195:0.787669:0.354302:0.787669:0.000000
+=:@0.359437:0.739070:0.391728:0.739070:0.391728:0.723823:0.359437:0.723823:0.000000:0.000000
+−:@0.363349:0.762056:0.395075:0.762056:0.395075:0.746808:0.363349:0.746808:0.000000:0.000000
+×:@0.428560:0.762056:0.458214:0.762056:0.458214:0.746808:0.428560:0.746808:0.000000:0.000000
=:@0.477933:0.762056:0.487039:0.762056:0.487039:0.746808:0.477933:0.746808:0.000000
−×:@0.363349:0.782389:0.392720:0.782389:0.392720:0.767142:0.363349:0.767142:0.000000:0.000000
+×:@0.416818:0.782389:0.446472:0.782389:0.446472:0.767142:0.416818:0.767142:0.000000:0.000000
+=:@0.465637:0.782389:0.497928:0.782389:0.497928:0.767142:0.465637:0.767142:0.000000:0.000000
−×:@0.363349:0.802721:0.392720:0.802721:0.392720:0.787473:0.363349:0.787473:0.000000:0.000000
+:@0.413056:0.732333:0.418333:0.732333:0.418333:0.723496:0.413056:0.723496:0.000000
+:@0.415834:0.755316:0.421111:0.755316:0.421111:0.746479:0.415834:0.746479:0.000000
2:@0.394257:0.803095:0.402350:0.803095:0.402350:0.788345:0.394257:0.788345:0.000000
4 0:@0.423562:0.803095:0.454609:0.803095:0.454609:0.788345:0.423562:0.788345:0.000000:0.000000:0.000000
x:@0.402831:0.796200:0.406723:0.796200:0.406723:0.787666:0.402831:0.787666:0.000000
−=:@0.411877:0.802721:0.443886:0.802721:0.443886:0.787473:0.411877:0.787473:0.000000:0.000000
Paso 3.:@0.102309:0.825815:0.154560:0.825815:0.154560:0.810237:0.102309:0.810237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la ecuación de segundo grado, con cambio de variable.:@0.154560:0.825815:0.610066:0.825815:0.610066:0.810916:0.154560:0.810916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seaz:@0.105089:0.844327:0.146435:0.844327:0.146435:0.829602:0.105089:0.829602:0.000000:0.000000:0.000000:0.000000
z:@0.254170:0.844327:0.260688:0.844327:0.260688:0.829602:0.254170:0.829602:0.000000
z:@0.105560:0.864660:0.112078:0.864660:0.112078:0.849935:0.105560:0.849935:0.000000
z:@0.142030:0.864660:0.148548:0.864660:0.148548:0.849935:0.142030:0.849935:0.000000
z:@0.111929:0.884351:0.118446:0.884351:0.118446:0.869626:0.111929:0.869626:0.000000
z:@0.156973:0.884351:0.163491:0.884351:0.163491:0.869626:0.156973:0.869626:0.000000
z:@0.265156:0.884351:0.271674:0.884351:0.271674:0.869626:0.265156:0.869626:0.000000
x:@0.170910:0.837431:0.174803:0.837431:0.174803:0.828897:0.170910:0.828897:0.000000
x:@0.296756:0.837431:0.300649:0.837431:0.300649:0.828897:0.296756:0.828897:0.000000
::@0.130013:0.844327:0.132899:0.844327:0.132899:0.829577:0.130013:0.829577:0.000000
,:@0.177595:0.844327:0.180481:0.844327:0.180481:0.829577:0.177595:0.829577:0.000000
; z:@0.212230:0.884357:0.227682:0.884357:0.227682:0.869607:0.212230:0.869607:0.000000:0.000000:0.000000
; :@0.256379:0.884357:0.265148:0.884357:0.265148:0.869607:0.256379:0.869607:0.000000:0.000000
entonces: :@0.186366:0.844327:0.253983:0.844327:0.253983:0.829577:0.186366:0.829577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.150612:0.843953:0.159718:0.843953:0.159718:0.828705:0.150612:0.828705:0.000000
=:@0.271516:0.843953:0.280621:0.843953:0.280621:0.828705:0.271516:0.828705:0.000000
−:@0.122335:0.864292:0.131440:0.864292:0.131440:0.849044:0.122335:0.849044:0.000000
− =:@0.152155:0.864292:0.184164:0.864292:0.184164:0.849044:0.152155:0.849044:0.000000:0.000000:0.000000
−:@0.122053:0.883983:0.131158:0.883983:0.131158:0.868735:0.122053:0.868735:0.000000
(:@0.104570:0.885557:0.110093:0.885557:0.110093:0.866070:0.104570:0.866070:0.000000
)(:@0.142882:0.885557:0.155136:0.885557:0.155136:0.866070:0.142882:0.866070:0.000000:0.000000
+ =:@0.167094:0.883983:0.201311:0.883983:0.201311:0.868735:0.167094:0.868735:0.000000:0.000000:0.000000
):@0.183828:0.885557:0.189351:0.885557:0.189351:0.866070:0.183828:0.866070:0.000000
=:@0.235841:0.883983:0.244946:0.883983:0.244946:0.868735:0.235841:0.868735:0.000000
2:@0.162337:0.844326:0.170430:0.844326:0.170430:0.829576:0.162337:0.829576:0.000000
2:@0.283240:0.844326:0.291334:0.844326:0.291334:0.829576:0.283240:0.829576:0.000000
3:@0.133496:0.864665:0.141589:0.864665:0.141589:0.849915:0.133496:0.849915:0.000000
4 0:@0.163846:0.864665:0.194876:0.864665:0.194876:0.849915:0.163846:0.849915:0.000000:0.000000:0.000000
4:@0.133728:0.884357:0.141821:0.884357:0.141821:0.869607:0.133728:0.869607:0.000000
1:@0.177495:0.884357:0.185589:0.884357:0.185589:0.869607:0.177495:0.869607:0.000000
0:@0.203932:0.884357:0.212025:0.884357:0.212025:0.869607:0.203932:0.869607:0.000000
4:@0.248081:0.884357:0.256174:0.884357:0.256174:0.869607:0.248081:0.869607:0.000000
2:@0.262033:0.837431:0.266724:0.837431:0.266724:0.828882:0.262033:0.828882:0.000000
2:@0.291109:0.837431:0.295799:0.837431:0.295799:0.828882:0.291109:0.828882:0.000000
2:@0.113428:0.857764:0.118119:0.857764:0.118119:0.849216:0.113428:0.849216:0.000000
1:@0.227733:0.886160:0.232423:0.886160:0.232423:0.877612:0.227733:0.877612:0.000000
2:@0.272302:0.886160:0.276993:0.886160:0.276993:0.877612:0.272302:0.877612:0.000000
= =−:@0.281774:0.883983:0.303136:0.883983:0.303136:0.868735:0.281774:0.868735:0.000000:0.000000:0.000000:0.000000
1:@0.303069:0.884357:0.311163:0.884357:0.311163:0.869607:0.303069:0.869607:0.000000
Paso 4.:@0.102309:0.882839:0.154560:0.882839:0.154560:0.867261:0.102309:0.867261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Volvemos a la variable original y verificamos las soluciones.:@0.154560:0.882839:0.547681:0.882839:0.547681:0.867940:0.154560:0.867940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.401351:0.882839:0.405020:0.882839:0.405020:0.867940:0.401351:0.867940:0.000000
Como: :@0.104806:0.901124:0.151509:0.901124:0.151509:0.886374:0.104806:0.886374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces:  42 ;:@0.201778:0.901124:0.316558:0.900839:0.316558:0.886089:0.201778:0.886374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2:@0.148441:0.921463:0.160709:0.921463:0.160709:0.906713:0.148441:0.906713:0.000000:0.000000
 no existe:@0.154660:0.941802:0.217467:0.941802:0.217467:0.927052:0.154660:0.927052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S= 2:@0.104574:0.961493:0.138419:0.961493:0.138419:0.946743:0.104574:0.946743:0.000000:0.000000:0.000000:0.000000
z:@0.155324:0.901136:0.161842:0.901136:0.161842:0.886411:0.155324:0.886411:0.000000
x:@0.219640:0.921475:0.226357:0.921475:0.226357:0.906750:0.219640:0.906750:0.000000
x:@0.186318:0.894229:0.190210:0.894229:0.190210:0.885695:0.186318:0.885695:0.000000
x:@0.136606:0.914565:0.140499:0.914565:0.140499:0.906031:0.136606:0.906031:0.000000
x:@0.190268:0.914565:0.194161:0.914565:0.194161:0.906031:0.190268:0.906031:0.000000
x:@0.142825:0.934901:0.146717:0.934901:0.146717:0.926367:0.142825:0.926367:0.000000
=:@0.166010:0.900751:0.175115:0.900751:0.175115:0.885503:0.166010:0.885503:0.000000
=:@0.116306:0.921089:0.125411:0.921089:0.125411:0.905841:0.116306:0.905841:0.000000
=:@0.169974:0.921089:0.179079:0.921089:0.179079:0.905841:0.169974:0.905841:0.000000
⇒=:@0.199379:0.921089:0.239730:0.921089:0.239730:0.905841:0.199379:0.905841:0.000000:0.000000
−=:@0.105094:0.941428:0.131630:0.941428:0.131630:0.926180:0.105094:0.926180:0.000000:0.000000
{ }:@0.122947:0.962688:0.145135:0.962688:0.145135:0.943201:0.122947:0.943201:0.000000:0.000000:0.000000
2 ,:@0.177742:0.901124:0.195893:0.901124:0.195893:0.886374:0.177742:0.886374:0.000000:0.000000:0.000000
42 ;:@0.105084:0.921463:0.146188:0.921463:0.146188:0.906713:0.105084:0.906713:0.000000:0.000000:0.000000:0.000000
2:@0.181689:0.921463:0.189783:0.921463:0.189783:0.906713:0.181689:0.906713:0.000000
2:@0.242324:0.921463:0.250417:0.921463:0.250417:0.906713:0.242324:0.906713:0.000000
12 ;:@0.114123:0.941802:0.152407:0.941802:0.152407:0.927052:0.114123:0.927052:0.000000:0.000000:0.000000:0.000000
2:@0.160497:0.914562:0.165188:0.914562:0.165188:0.906014:0.160497:0.906014:0.000000
}:@0.137174:0.962688:0.145135:0.962688:0.145135:0.943201:0.137174:0.943201:0.000000
Como: :@0.275177:0.880505:0.321880:0.880505:0.321880:0.865755:0.275177:0.865755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces: :@0.372149:0.880505:0.439766:0.880505:0.439766:0.865755:0.372149:0.865755:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2:@0.318807:0.900839:0.331086:0.900839:0.331086:0.886089:0.318807:0.886089:0.000000:0.000000
 no existe:@0.325027:0.921171:0.387834:0.921171:0.387834:0.906421:0.325027:0.906421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S= 2:@0.274941:0.940862:0.308804:0.940862:0.308804:0.926112:0.274941:0.926112:0.000000:0.000000:0.000000:0.000000
z:@0.325691:0.880506:0.332209:0.880506:0.332209:0.865780:0.325691:0.865780:0.000000
x:@0.390000:0.900839:0.396717:0.900839:0.396717:0.886113:0.390000:0.886113:0.000000
x:@0.356690:0.873610:0.360582:0.873610:0.360582:0.865076:0.356690:0.865076:0.000000
x:@0.306978:0.893945:0.310871:0.893945:0.310871:0.885411:0.306978:0.885411:0.000000
x:@0.360640:0.893945:0.364533:0.893945:0.364533:0.885411:0.360640:0.885411:0.000000
x:@0.313197:0.914281:0.317089:0.914281:0.317089:0.905747:0.313197:0.905747:0.000000
=:@0.336382:0.880132:0.345487:0.880132:0.345487:0.864884:0.336382:0.864884:0.000000
=:@0.286677:0.900471:0.295783:0.900471:0.295783:0.885223:0.286677:0.885223:0.000000
=:@0.340346:0.900471:0.349451:0.900471:0.349451:0.885223:0.340346:0.885223:0.000000
⇒=:@0.369751:0.900471:0.410102:0.900471:0.410102:0.885223:0.369751:0.885223:0.000000:0.000000
−=:@0.275466:0.920810:0.302002:0.920810:0.302002:0.905562:0.275466:0.905562:0.000000:0.000000
{ }:@0.293319:0.942068:0.315507:0.942068:0.315507:0.922582:0.293319:0.922582:0.000000:0.000000:0.000000
2 ,:@0.348114:0.880505:0.366265:0.880505:0.366265:0.865755:0.348114:0.865755:0.000000:0.000000:0.000000
2:@0.352066:0.900839:0.360159:0.900839:0.360159:0.886089:0.352066:0.886089:0.000000
2:@0.412700:0.900839:0.420794:0.900839:0.420794:0.886089:0.412700:0.886089:0.000000
12 ;:@0.284507:0.921171:0.322777:0.921171:0.322777:0.906421:0.284507:0.906421:0.000000:0.000000:0.000000:0.000000
2:@0.330869:0.893943:0.335560:0.893943:0.335560:0.885394:0.330869:0.885394:0.000000
}:@0.307546:0.942068:0.315507:0.942068:0.315507:0.922582:0.307546:0.922582:0.000000
Paso 1.:@0.102309:0.332733:0.154560:0.332733:0.154560:0.317155:0.102309:0.317155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aplicamos propiedades de logaritmo.   :@0.154560:0.332733:0.419695:0.332733:0.419695:0.317834:0.154560:0.317834:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.421438:0.332879:0.442898:0.332879:0.442898:0.318129:0.421438:0.318129:0.000000:0.000000:0.000000
3:@0.442546:0.334683:0.447236:0.334683:0.447236:0.326134:0.442546:0.326134:0.000000
3:@0.479862:0.332879:0.487955:0.332879:0.487955:0.318129:0.479862:0.318129:0.000000
1:@0.523397:0.332879:0.531490:0.332879:0.531490:0.318129:0.523397:0.318129:0.000000
2:@0.549833:0.332879:0.557927:0.332879:0.557927:0.318129:0.549833:0.318129:0.000000
x:@0.458003:0.332879:0.464720:0.332879:0.464720:0.318154:0.458003:0.318154:0.000000
x:@0.502865:0.332879:0.509582:0.332879:0.509582:0.318154:0.502865:0.318154:0.000000
+:@0.468413:0.332506:0.477518:0.332506:0.477518:0.317258:0.468413:0.317258:0.000000
(:@0.450367:0.334081:0.455890:0.334081:0.455890:0.314594:0.450367:0.314594:0.000000
)(:@0.488479:0.334081:0.500745:0.334081:0.500745:0.314594:0.488479:0.314594:0.000000:0.000000
− =:@0.513267:0.332506:0.547203:0.332506:0.547203:0.317258:0.513267:0.317258:0.000000:0.000000:0.000000
):@0.529718:0.334081:0.535241:0.334081:0.535241:0.314594:0.529718:0.314594:0.000000
Paso 2.:@0.102309:0.353710:0.154560:0.353710:0.154560:0.338132:0.102309:0.338132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Escribimos en forma exponencial, :@0.154560:0.353710:0.385570:0.353710:0.385570:0.338811:0.154560:0.338811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y multiplicamos.:@0.102309:0.368798:0.211181:0.368798:0.211181:0.353899:0.102309:0.353899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413683:0.357084:0.420400:0.357084:0.420400:0.342358:0.413683:0.342358:0.000000
x:@0.458545:0.357084:0.465262:0.357084:0.465262:0.342358:0.458545:0.342358:0.000000
x:@0.407322:0.378441:0.414039:0.378441:0.414039:0.363716:0.407322:0.363716:0.000000
x:@0.444638:0.378441:0.451355:0.378441:0.451355:0.363716:0.444638:0.363716:0.000000
+:@0.424089:0.356708:0.433194:0.356708:0.433194:0.341460:0.424089:0.341460:0.000000
(:@0.406050:0.358284:0.411573:0.358284:0.411573:0.338797:0.406050:0.338797:0.000000
)(:@0.444163:0.358284:0.456428:0.358284:0.456428:0.338797:0.444163:0.338797:0.000000:0.000000
− =:@0.468951:0.356710:0.502886:0.356710:0.502886:0.341462:0.468951:0.341462:0.000000:0.000000:0.000000
):@0.485402:0.358284:0.490924:0.358284:0.490924:0.338797:0.485402:0.338797:0.000000
+:@0.424373:0.378070:0.433478:0.378070:0.433478:0.362822:0.424373:0.362822:0.000000
−:@0.455039:0.378070:0.464144:0.378070:0.464144:0.362822:0.455039:0.362822:0.000000
=:@0.483880:0.378070:0.492985:0.378070:0.492985:0.362822:0.483880:0.362822:0.000000
3:@0.435535:0.357084:0.443628:0.357084:0.443628:0.342334:0.435535:0.342334:0.000000
1:@0.479070:0.357084:0.487164:0.357084:0.487164:0.342334:0.479070:0.342334:0.000000
3:@0.505513:0.357084:0.513606:0.357084:0.513606:0.342334:0.505513:0.342334:0.000000
2:@0.435828:0.378441:0.443921:0.378441:0.443921:0.363691:0.435828:0.363691:0.000000
120:@0.465183:0.378441:0.503710:0.378441:0.503710:0.363691:0.465183:0.363691:0.000000:0.000000:0.000000
2:@0.513381:0.350188:0.518072:0.350188:0.518072:0.341639:0.513381:0.341639:0.000000
2:@0.415477:0.371548:0.420167:0.371548:0.420167:0.362999:0.415477:0.362999:0.000000
Paso 3.:@0.102309:0.397904:0.154560:0.397904:0.154560:0.382326:0.102309:0.382326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Resolvemos la ecuación de :@0.154560:0.397904:0.342101:0.397904:0.342101:0.383005:0.154560:0.383005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo grado; empleamos la fórmula :@0.102309:0.412992:0.364797:0.412992:0.364797:0.398093:0.102309:0.398093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
general.:@0.102309:0.428080:0.155479:0.428080:0.155479:0.413181:0.102309:0.413181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407322:0.411502:0.414039:0.411502:0.414039:0.396777:0.407322:0.396777:0.000000
b:@0.440956:0.403610:0.449298:0.403610:0.449298:0.388885:0.440956:0.388885:0.000000
b:@0.474590:0.403610:0.482932:0.403610:0.482932:0.388885:0.474590:0.388885:0.000000
ac:@0.512155:0.403610:0.527347:0.403610:0.527347:0.388885:0.512155:0.388885:0.000000:0.000000
a:@0.480030:0.421261:0.488372:0.421261:0.488372:0.406536:0.480030:0.406536:0.000000
x:@0.541145:0.411502:0.547862:0.411502:0.547862:0.396777:0.541145:0.396777:0.000000
x:@0.407322:0.439686:0.414039:0.439686:0.414039:0.424961:0.407322:0.424961:0.000000
x:@0.502552:0.439686:0.509269:0.439686:0.509269:0.424961:0.502552:0.424961:0.000000
=:@0.418300:0.411129:0.427405:0.411129:0.427405:0.395881:0.418300:0.395881:0.000000
−±:@0.431866:0.403237:0.460989:0.403237:0.460989:0.387989:0.431866:0.387989:0.000000:0.000000
−:@0.492169:0.403237:0.501274:0.403237:0.501274:0.387989:0.492169:0.387989:0.000000
=:@0.552107:0.411129:0.561212:0.411129:0.561212:0.395881:0.552107:0.395881:0.000000
−±:@0.565673:0.403237:0.593950:0.403237:0.593950:0.387989:0.565673:0.387989:0.000000:0.000000
+:@0.618728:0.403237:0.627833:0.403237:0.627833:0.387989:0.618728:0.387989:0.000000
=− +:@0.422247:0.439309:0.460475:0.439309:0.460475:0.424061:0.422247:0.424061:0.000000:0.000000:0.000000:0.000000
= −−:@0.519451:0.439309:0.557679:0.439309:0.557679:0.424061:0.519451:0.424061:0.000000:0.000000:0.000000:0.000000
2:@0.483274:0.396720:0.487964:0.396720:0.487964:0.388172:0.483274:0.388172:0.000000
1:@0.414154:0.441489:0.418844:0.441489:0.418844:0.432941:0.414154:0.432941:0.000000
2:@0.509992:0.441489:0.514682:0.441489:0.514682:0.432941:0.509992:0.432941:0.000000
4:@0.503863:0.403616:0.511956:0.403616:0.511956:0.388866:0.503863:0.388866:0.000000
2:@0.472252:0.421266:0.480345:0.421266:0.480345:0.406516:0.472252:0.406516:0.000000
2:@0.574730:0.403616:0.582823:0.403616:0.582823:0.388866:0.574730:0.388866:0.000000
4 48:@0.608082:0.403616:0.646808:0.403616:0.646808:0.388866:0.608082:0.388866:0.000000:0.000000:0.000000:0.000000
2:@0.602858:0.421266:0.610951:0.421266:0.610951:0.406516:0.602858:0.406516:0.000000
1:@0.443554:0.439686:0.451647:0.439686:0.451647:0.424936:0.443554:0.424936:0.000000
13;  :@0.473042:0.439686:0.502553:0.439686:0.502553:0.424936:0.473042:0.424936:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.540741:0.439686:0.548835:0.439686:0.548835:0.424936:0.540741:0.424936:0.000000
13:@0.569964:0.439686:0.586068:0.439686:0.586068:0.424936:0.569964:0.424936:0.000000:0.000000
; :@0.532369:0.411502:0.541137:0.411502:0.541137:0.396752:0.532369:0.396752:0.000000:0.000000
Paso 4.:@0.102309:0.461700:0.154560:0.461700:0.154560:0.446122:0.102309:0.446122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Verificamos las soluciones :@0.154560:0.461700:0.333743:0.461700:0.333743:0.446801:0.154560:0.446801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.186471:0.461700:0.190140:0.461700:0.190140:0.446801:0.186471:0.446801:0.000000
obtenidas en la ecuación original; log( ) :@0.102309:0.476787:0.370595:0.476787:0.370595:0.461888:0.102309:0.461888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.355702:0.476787:0.362487:0.476787:0.362487:0.461914:0.355702:0.461914:0.000000
está definido para   > 0.:@0.102309:0.491875:0.260919:0.491875:0.260919:0.476976:0.102309:0.476976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154424:0.491875:0.158093:0.491875:0.158093:0.476976:0.154424:0.476976:0.000000
x:@0.225722:0.491875:0.232507:0.491875:0.232507:0.477001:0.225722:0.477001:0.000000
x:@0.407322:0.465219:0.414039:0.465219:0.414039:0.450494:0.407322:0.450494:0.000000
x:@0.410423:0.486579:0.417140:0.486579:0.417140:0.471853:0.410423:0.471853:0.000000
S:@0.406559:0.508959:0.413823:0.508959:0.413823:0.494234:0.406559:0.494234:0.000000
1:@0.414154:0.467022:0.418844:0.467022:0.418844:0.458474:0.414154:0.458474:0.000000
2:@0.417873:0.488382:0.422564:0.488382:0.422564:0.479834:0.417873:0.479834:0.000000
1:@0.443554:0.465219:0.451647:0.465219:0.451647:0.450469:0.443554:0.450469:0.000000
133 49 :@0.473042:0.465219:0.537921:0.465219:0.537921:0.450469:0.473042:0.450469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.448629:0.486579:0.456722:0.486579:0.456722:0.471828:0.448629:0.471828:0.000000
13:@0.477835:0.486579:0.493939:0.486579:0.493939:0.471828:0.477835:0.471828:0.000000:0.000000
3 71,,:@0.519164:0.486579:0.547407:0.486579:0.547407:0.471828:0.519164:0.471828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.445362:0.508959:0.453455:0.508959:0.453455:0.494209:0.445362:0.494209:0.000000
133 49:@0.474850:0.508959:0.535384:0.508959:0.535384:0.494209:0.474850:0.494209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=− +:@0.422258:0.464846:0.460487:0.464846:0.460487:0.449598:0.422258:0.449598:0.000000:0.000000:0.000000:0.000000
≈:@0.493076:0.464846:0.502181:0.464846:0.502181:0.449598:0.493076:0.449598:0.000000
=− −:@0.427346:0.486205:0.465574:0.486205:0.465574:0.470957:0.427346:0.470957:0.000000:0.000000:0.000000:0.000000
≈ −:@0.497882:0.486205:0.519243:0.486205:0.519243:0.470957:0.497882:0.470957:0.000000:0.000000:0.000000
=− +:@0.417561:0.508585:0.462340:0.508585:0.462340:0.493337:0.417561:0.493337:0.000000:0.000000:0.000000:0.000000
≈:@0.494929:0.508585:0.504035:0.508585:0.504035:0.493337:0.494929:0.493337:0.000000
{:@0.428477:0.512769:0.436438:0.512769:0.436438:0.486054:0.428477:0.486054:0.000000
}:@0.534670:0.512769:0.542631:0.512769:0.542631:0.486054:0.534670:0.486054:0.000000
,:@0.512579:0.465219:0.515465:0.465219:0.515465:0.450469:0.512579:0.450469:0.000000
,:@0.514403:0.508959:0.517289:0.508959:0.517289:0.494209:0.514403:0.494209:0.000000
no cumple:@0.553287:0.486578:0.625033:0.486578:0.625033:0.471828:0.553287:0.471828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.749488:0.536273:0.906694:0.536273:0.906694:0.519372:0.749488:0.519372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Música:@0.754293:0.564355:0.905868:0.564355:0.905868:0.548990:0.754293:0.548990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué tiene que ver:@0.754293:0.581743:0.880470:0.581743:0.880470:0.566844:0.754293:0.566844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la matemática con la :@0.754293:0.595573:0.896251:0.595573:0.896251:0.580674:0.754293:0.580674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
música?:@0.754293:0.609404:0.808118:0.609404:0.808118:0.594505:0.754293:0.594505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pues en realidad, mucho.:@0.754293:0.626792:0.920475:0.626792:0.920475:0.611893:0.754293:0.611893:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El uso de logaritmos en la :@0.754293:0.640623:0.928968:0.640623:0.928968:0.625723:0.754293:0.625723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
música permite hallar las :@0.754293:0.654453:0.922904:0.654453:0.922904:0.639554:0.754293:0.639554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vibraciones de las :@0.754293:0.668283:0.876049:0.668283:0.876049:0.653384:0.754293:0.653384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tonalidades musicales, :@0.754293:0.682113:0.907559:0.682113:0.907559:0.667214:0.754293:0.667214:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pero para hallar estas :@0.754293:0.695944:0.899050:0.695944:0.899050:0.681045:0.754293:0.681045:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vibraciones, siempre tiene :@0.754293:0.709774:0.931766:0.709774:0.931766:0.694875:0.754293:0.694875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que estar el logaritmo en :@0.754293:0.723604:0.925164:0.723604:0.925164:0.708705:0.754293:0.708705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base dos.:@0.754293:0.737435:0.816191:0.737435:0.816191:0.722536:0.754293:0.722536:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Altavoces y sonido.:@0.754056:0.862008:0.868566:0.862008:0.868566:0.848599:0.754056:0.848599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.946932:0.830582:0.946932:0.787756:0.935021:0.787756:0.935021:0.830582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El trabajo en parejas coadyuva :@0.754056:0.410108:0.939052:0.410108:0.939052:0.396699:0.754056:0.396699:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a solventar dificultades.:@0.754056:0.422679:0.893880:0.422679:0.893880:0.409270:0.754056:0.409270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.946932:0.376901:0.946932:0.334076:0.935021:0.334076:0.935021:0.376901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones logarítmicas:@0.096359:0.120216:0.339359:0.120216:0.339359:0.098706:0.096359:0.098706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación logarítmica es aquella en la que la incógnita aparece dentro de la fun-:@0.096359:0.142998:0.712522:0.142998:0.712522:0.126609:0.096359:0.126609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción logaritmo.:@0.096359:0.159594:0.207126:0.159594:0.207126:0.143205:0.096359:0.143205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una ecuación logarítmica, debes aplicar sus propiedades; luego, veri-:@0.096359:0.183313:0.712487:0.183313:0.712487:0.166924:0.096359:0.166924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ficar si las soluciones obtenidas cumplen con la restricción del dominio para   > 0.:@0.096359:0.199910:0.695526:0.199910:0.695526:0.183521:0.096359:0.183521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.100819:0.199910:0.104854:0.199910:0.104854:0.183521:0.100819:0.183521:0.000000
x:@0.656810:0.199910:0.664273:0.199910:0.664273:0.183548:0.656810:0.183548:0.000000
nidad de conocimientos:@0.117728:0.090870:0.291399:0.090870:0.291399:0.075506:0.117728:0.075506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.095893:0.091656:0.108460:0.091656:0.108460:0.074520:0.095893:0.074520:0.000000
Al trabajar los temas de :@0.754293:0.132703:0.913422:0.132703:0.913422:0.117804:0.754293:0.117804:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones exponenciales :@0.754293:0.146533:0.933024:0.146533:0.933024:0.131634:0.754293:0.131634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y logarítmicas es común :@0.754293:0.160364:0.920156:0.160364:0.920156:0.145465:0.754293:0.145465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que los jóvenes tengan :@0.754293:0.174194:0.913003:0.174194:0.913003:0.159295:0.754293:0.159295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dificultades, por ello :@0.754293:0.188024:0.891962:0.188024:0.891962:0.173125:0.754293:0.173125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debemos celebrar los :@0.754293:0.201855:0.901513:0.201855:0.901513:0.186956:0.754293:0.186956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeños logros y :@0.754293:0.215685:0.881643:0.215685:0.881643:0.200786:0.754293:0.200786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
avances, además darles a :@0.754293:0.229515:0.924948:0.229515:0.924948:0.214616:0.754293:0.214616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer que cada paso :@0.754293:0.243346:0.913692:0.243346:0.913692:0.228447:0.754293:0.228447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacia adelante, por :@0.754293:0.257176:0.884491:0.257176:0.884491:0.242277:0.754293:0.242277:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pequeño que sea, es un :@0.754293:0.271006:0.917243:0.271006:0.917243:0.256107:0.754293:0.256107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progreso significativo.:@0.754293:0.284837:0.899735:0.284837:0.899735:0.269937:0.754293:0.269937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Socioemocional:@0.759543:0.098785:0.898315:0.098785:0.898315:0.081884:0.759543:0.081884:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seaz:@0.342510:0.824509:0.383856:0.824509:0.383856:0.809784:0.342510:0.809784:0.000000:0.000000:0.000000:0.000000
z:@0.491592:0.824509:0.498110:0.824509:0.498110:0.809784:0.491592:0.809784:0.000000
z:@0.342991:0.844848:0.349509:0.844848:0.349509:0.830123:0.342991:0.830123:0.000000
z:@0.379461:0.844848:0.385979:0.844848:0.385979:0.830123:0.379461:0.830123:0.000000
z:@0.349360:0.864540:0.355878:0.864540:0.355878:0.849814:0.349360:0.849814:0.000000
z:@0.394404:0.864540:0.400922:0.864540:0.400922:0.849814:0.394404:0.849814:0.000000
z:@0.502587:0.864540:0.509105:0.864540:0.509105:0.849814:0.502587:0.849814:0.000000
x:@0.408332:0.817615:0.412225:0.817615:0.412225:0.809081:0.408332:0.809081:0.000000
x:@0.534178:0.817615:0.538071:0.817615:0.538071:0.809081:0.534178:0.809081:0.000000
::@0.367435:0.824509:0.370320:0.824509:0.370320:0.809759:0.367435:0.809759:0.000000
,:@0.415017:0.824509:0.417902:0.824509:0.417902:0.809759:0.415017:0.809759:0.000000
; z:@0.449646:0.864540:0.465086:0.864540:0.465086:0.849789:0.449646:0.849789:0.000000:0.000000:0.000000
; :@0.493795:0.864540:0.502551:0.864540:0.502551:0.849789:0.493795:0.849789:0.000000:0.000000
entonces: :@0.423773:0.824509:0.491390:0.824509:0.491390:0.809759:0.423773:0.809759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.388016:0.824136:0.397121:0.824136:0.397121:0.808888:0.388016:0.808888:0.000000
=:@0.508920:0.824136:0.518025:0.824136:0.518025:0.808888:0.508920:0.808888:0.000000
−:@0.359739:0.844475:0.368844:0.844475:0.368844:0.829227:0.359739:0.829227:0.000000
− =:@0.389559:0.844475:0.421568:0.844475:0.421568:0.829227:0.389559:0.829227:0.000000:0.000000:0.000000
−:@0.359457:0.864166:0.368562:0.864166:0.368562:0.848918:0.359457:0.848918:0.000000
(:@0.341993:0.865740:0.347515:0.865740:0.347515:0.846253:0.341993:0.846253:0.000000
)(:@0.380304:0.865740:0.392558:0.865740:0.392558:0.846253:0.380304:0.846253:0.000000:0.000000
+ =:@0.404516:0.864166:0.438733:0.864166:0.438733:0.848918:0.404516:0.848918:0.000000:0.000000:0.000000
):@0.421249:0.865740:0.426772:0.865740:0.426772:0.846253:0.421249:0.846253:0.000000
=:@0.473263:0.864166:0.482368:0.864166:0.482368:0.848918:0.473263:0.848918:0.000000
2:@0.399758:0.824509:0.407852:0.824509:0.407852:0.809759:0.399758:0.809759:0.000000
2:@0.520662:0.824509:0.528756:0.824509:0.528756:0.809759:0.520662:0.809759:0.000000
3:@0.370917:0.844847:0.379011:0.844847:0.379011:0.830097:0.370917:0.830097:0.000000
4 0:@0.401268:0.844847:0.432298:0.844847:0.432298:0.830097:0.401268:0.830097:0.000000:0.000000:0.000000
4:@0.371150:0.864539:0.379243:0.864539:0.379243:0.849789:0.371150:0.849789:0.000000
1:@0.414917:0.864539:0.423010:0.864539:0.423010:0.849789:0.414917:0.849789:0.000000
0:@0.441353:0.864539:0.449447:0.864539:0.449447:0.849789:0.441353:0.849789:0.000000
4:@0.485502:0.864539:0.493596:0.864539:0.493596:0.849789:0.485502:0.849789:0.000000
2:@0.499455:0.817615:0.504146:0.817615:0.504146:0.809066:0.499455:0.809066:0.000000
2:@0.528530:0.817615:0.533221:0.817615:0.533221:0.809066:0.528530:0.809066:0.000000
2:@0.350849:0.837950:0.355539:0.837950:0.355539:0.829402:0.350849:0.829402:0.000000
1:@0.465151:0.866343:0.469842:0.866343:0.469842:0.857795:0.465151:0.857795:0.000000
2:@0.509720:0.866343:0.514411:0.866343:0.514411:0.857795:0.509720:0.857795:0.000000
= =−:@0.519196:0.864166:0.540557:0.864166:0.540557:0.848918:0.519196:0.848918:0.000000:0.000000:0.000000:0.000000
1:@0.540491:0.864539:0.548585:0.864539:0.548585:0.849789:0.540491:0.849789:0.000000
Como: :@0.507721:0.859685:0.554424:0.859685:0.554424:0.844935:0.507721:0.844935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces: :@0.604693:0.859685:0.672309:0.859685:0.672309:0.844935:0.604693:0.844935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 2:@0.551356:0.880023:0.563623:0.880023:0.563623:0.865273:0.551356:0.865273:0.000000:0.000000
 no existe:@0.557575:0.900362:0.620382:0.900362:0.620382:0.885612:0.557575:0.885612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S= 2:@0.507485:0.920047:0.541352:0.920047:0.541352:0.905297:0.507485:0.905297:0.000000:0.000000:0.000000:0.000000
z:@0.558229:0.859685:0.564747:0.859685:0.564747:0.844959:0.558229:0.844959:0.000000
x:@0.622545:0.880023:0.629262:0.880023:0.629262:0.865298:0.622545:0.865298:0.000000
x:@0.589231:0.852789:0.593124:0.852789:0.593124:0.844255:0.589231:0.844255:0.000000
x:@0.539520:0.873124:0.543412:0.873124:0.543412:0.864590:0.539520:0.864590:0.000000
x:@0.593182:0.873124:0.597074:0.873124:0.597074:0.864590:0.593182:0.864590:0.000000
x:@0.545738:0.893460:0.549631:0.893460:0.549631:0.884926:0.545738:0.884926:0.000000
=:@0.568924:0.859311:0.578029:0.859311:0.578029:0.844063:0.568924:0.844063:0.000000
=:@0.519219:0.879650:0.528324:0.879650:0.528324:0.864402:0.519219:0.864402:0.000000
=:@0.572888:0.879650:0.581993:0.879650:0.581993:0.864402:0.572888:0.864402:0.000000
⇒=:@0.602293:0.879650:0.642644:0.879650:0.642644:0.864402:0.602293:0.864402:0.000000:0.000000
−=:@0.508008:0.899989:0.534544:0.899989:0.534544:0.884741:0.508008:0.884741:0.000000:0.000000
{ }:@0.525860:0.921248:0.548050:0.921248:0.548050:0.901761:0.525860:0.901761:0.000000:0.000000:0.000000
2 ,:@0.580656:0.859685:0.598808:0.859685:0.598808:0.844935:0.580656:0.844935:0.000000:0.000000:0.000000
42 ;:@0.507997:0.880023:0.549103:0.880023:0.549103:0.865273:0.507997:0.865273:0.000000:0.000000:0.000000:0.000000
2:@0.584603:0.880023:0.592696:0.880023:0.592696:0.865273:0.584603:0.865273:0.000000
2:@0.645237:0.880023:0.653331:0.880023:0.653331:0.865273:0.645237:0.865273:0.000000
12 ;:@0.517036:0.900362:0.555322:0.900362:0.555322:0.885612:0.517036:0.885612:0.000000:0.000000:0.000000:0.000000
2:@0.563412:0.873122:0.568103:0.873122:0.568103:0.864573:0.563412:0.864573:0.000000
}:@0.540090:0.921248:0.548050:0.921248:0.548050:0.901761:0.540090:0.901761:0.000000