123:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
log:@0.168533:0.096310:0.188396:0.096310:0.188396:0.079841:0.168533:0.079841:0.000000:0.000000:0.000000
2:@0.188403:0.099472:0.193357:0.099472:0.193357:0.089854:0.188403:0.089854:0.000000
(9  + 7)    = :@0.193357:0.096194:0.288297:0.096194:0.288297:0.079697:0.193357:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207806:0.089910:0.212164:0.089910:0.212164:0.080309:0.207806:0.080309:0.000000
–1:@0.212164:0.089842:0.223238:0.089842:0.223238:0.080224:0.212164:0.080224:0.000000:0.000000
log:@0.288297:0.096310:0.308160:0.096310:0.308160:0.079841:0.288297:0.079841:0.000000:0.000000:0.000000
2:@0.308158:0.099472:0.313111:0.099472:0.313111:0.089854:0.308158:0.089854:0.000000
(4) + :@0.313110:0.096194:0.352604:0.096194:0.352604:0.079697:0.313110:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.352604:0.096310:0.372466:0.096310:0.372466:0.079841:0.352604:0.079841:0.000000:0.000000:0.000000
2:@0.372465:0.099472:0.377418:0.099472:0.377418:0.089854:0.372465:0.089854:0.000000
(3  + 1):@0.377419:0.096194:0.440839:0.096194:0.440839:0.079697:0.377419:0.079697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.391866:0.089910:0.396224:0.089910:0.396224:0.080309:0.391866:0.080309:0.000000
–1:@0.396224:0.089842:0.407299:0.089842:0.407299:0.080224:0.396224:0.080224:0.000000:0.000000
log:@0.168525:0.120790:0.188387:0.120790:0.188387:0.104321:0.168525:0.104321:0.000000:0.000000:0.000000
2:@0.188403:0.123951:0.193357:0.123951:0.193357:0.114332:0.188403:0.114332:0.000000
(9  + 7)    :@0.193357:0.120674:0.273347:0.120674:0.273347:0.104176:0.193357:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.207806:0.114388:0.212164:0.114388:0.212164:0.104787:0.207806:0.104787:0.000000
–1:@0.212164:0.114321:0.223238:0.114321:0.223238:0.104703:0.212164:0.104703:0.000000:0.000000
= log:@0.273347:0.120790:0.308235:0.120790:0.308235:0.104321:0.273347:0.104321:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.308233:0.123951:0.313186:0.123951:0.313186:0.114332:0.308233:0.114332:0.000000
(4(3  + 1)),:@0.313187:0.120674:0.399766:0.120674:0.399766:0.104176:0.313187:0.104176:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.342085:0.114388:0.346443:0.114388:0.346443:0.104787:0.342085:0.104787:0.000000
–1:@0.346443:0.114321:0.357517:0.114321:0.357517:0.104703:0.346443:0.104703:0.000000:0.000000
log:@0.168525:0.145268:0.188387:0.145268:0.188387:0.128799:0.168525:0.128799:0.000000:0.000000:0.000000
2:@0.188403:0.148430:0.193357:0.148430:0.193357:0.138812:0.188403:0.138812:0.000000
(3:@0.193357:0.145152:0.207806:0.145152:0.207806:0.128655:0.193357:0.128655:0.000000:0.000000
2( –1):@0.207806:0.138800:0.235132:0.138800:0.235132:0.129182:0.207806:0.129182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.216230:0.138868:0.220588:0.138868:0.220588:0.129267:0.216230:0.129267:0.000000
 + 7) = :@0.235131:0.145152:0.287763:0.145152:0.287763:0.128655:0.235131:0.128655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.287763:0.145268:0.307626:0.145268:0.307626:0.128799:0.287763:0.128799:0.000000:0.000000:0.000000
2:@0.307625:0.148430:0.312578:0.148430:0.312578:0.138812:0.307625:0.138812:0.000000
(4(3  + 1)).:@0.312579:0.145152:0.399156:0.145152:0.399156:0.128655:0.312579:0.128655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.341475:0.138868:0.345833:0.138868:0.345833:0.129267:0.341475:0.129267:0.000000
–1:@0.345833:0.138800:0.356907:0.138800:0.356907:0.129182:0.345833:0.129182:0.000000:0.000000
 :@0.108232:0.177584:0.112374:0.177584:0.112374:0.161087:0.108232:0.161087:0.000000
La función :@0.131966:0.177584:0.212158:0.177584:0.212158:0.161087:0.131966:0.161087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.212861:0.177700:0.236654:0.177700:0.236654:0.161231:0.212861:0.161231:0.000000:0.000000:0.000000
2:@0.236664:0.180869:0.241617:0.180869:0.241617:0.171250:0.236664:0.171250:0.000000
 es inyectiva. Aplicando esta propiedad a la ecua-:@0.241617:0.177591:0.595794:0.177591:0.595794:0.161093:0.241617:0.161093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ción precedente, se tiene la siguiente ecuación::@0.131979:0.194941:0.463068:0.194941:0.463068:0.178444:0.131979:0.178444:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.205417:0.219421:0.213913:0.219421:0.213913:0.202923:0.205417:0.202923:0.000000
2( –1):@0.213904:0.213068:0.241230:0.213068:0.241230:0.203450:0.213904:0.203450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.222328:0.213136:0.226685:0.213136:0.226685:0.203534:0.222328:0.203534:0.000000
 + 7 = 4(3  + 1)   3:@0.241230:0.219420:0.394061:0.219420:0.394061:0.202922:0.241230:0.202922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.310853:0.213136:0.315211:0.213136:0.315211:0.203534:0.310853:0.203534:0.000000
–1:@0.315211:0.213068:0.326286:0.213068:0.326286:0.203450:0.315211:0.203450:0.000000:0.000000
⇔:@0.363967:0.218499:0.381423:0.218499:0.381423:0.203097:0.363967:0.203097:0.000000
2( –1):@0.394061:0.213068:0.421387:0.213068:0.421387:0.203450:0.394061:0.203450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.402485:0.213136:0.406842:0.213136:0.406842:0.203534:0.402485:0.203534:0.000000
 + 3 = 4 × 3 .:@0.421387:0.219420:0.522336:0.219420:0.522336:0.202922:0.421387:0.202922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.504149:0.213136:0.508507:0.213136:0.508507:0.203534:0.504149:0.203534:0.000000
–1:@0.508507:0.213068:0.519581:0.213068:0.519581:0.203450:0.508507:0.203450:0.000000:0.000000
 :@0.108229:0.251852:0.112371:0.251852:0.112371:0.235354:0.108229:0.235354:0.000000
No es inmediato obtener la solución de esta última ecuación. La :@0.131964:0.251852:0.599892:0.251852:0.599892:0.235354:0.131964:0.235354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transformamos en una ecuación de segundo grado. Para el efecto, :@0.131964:0.269203:0.599858:0.269203:0.599858:0.252705:0.131964:0.252705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ponemos   = 3 . Entonces,   = (3 )  = 3:@0.131964:0.286553:0.455550:0.286560:0.455550:0.270062:0.131964:0.270056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.206348:0.286669:0.214131:0.286669:0.214131:0.270200:0.206348:0.270200:0.000000
x:@0.246521:0.280275:0.250879:0.280275:0.250879:0.270674:0.246521:0.270674:0.000000
–1:@0.250879:0.280208:0.261953:0.280208:0.261953:0.270590:0.250879:0.270590:0.000000:0.000000
v:@0.345774:0.286675:0.353557:0.286675:0.353557:0.270207:0.345774:0.270207:0.000000
2:@0.353567:0.280208:0.358520:0.280208:0.358520:0.270590:0.353567:0.270590:0.000000
x:@0.396847:0.280275:0.401204:0.280275:0.401204:0.270674:0.396847:0.270674:0.000000
–1 2:@0.401204:0.280208:0.423184:0.278951:0.423184:0.269332:0.401204:0.270590:0.000000:0.000000:0.000000:0.000000
2( –1):@0.455559:0.280208:0.482885:0.280208:0.482885:0.270590:0.455559:0.270590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.463983:0.280275:0.468340:0.280275:0.468340:0.270674:0.463983:0.270674:0.000000
. Obtenemos la :@0.482885:0.286560:0.599903:0.286560:0.599903:0.270062:0.482885:0.270062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación   + 3 = 4 . Así,:@0.131969:0.303910:0.308004:0.303910:0.308004:0.287413:0.131969:0.287413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.200437:0.304026:0.208221:0.304026:0.208221:0.287557:0.200437:0.287557:0.000000
2:@0.208228:0.297559:0.213181:0.297559:0.213181:0.287941:0.208228:0.287941:0.000000
v:@0.268356:0.304026:0.276139:0.304026:0.276139:0.287557:0.268356:0.287557:0.000000
 :@0.108243:0.336342:0.112385:0.336342:0.112385:0.319845:0.108243:0.319845:0.000000
v:@0.131978:0.336458:0.139761:0.336458:0.139761:0.319989:0.131978:0.319989:0.000000
2:@0.139759:0.329997:0.144713:0.329997:0.144713:0.320379:0.139759:0.320379:0.000000
 + 3 = 4      – 4  + 3 = 0 :@0.144713:0.336349:0.340528:0.336349:0.340528:0.319851:0.144713:0.319851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.199889:0.336464:0.207672:0.336464:0.207672:0.319996:0.199889:0.319996:0.000000
⇔:@0.211813:0.335428:0.229269:0.335428:0.229269:0.320026:0.211813:0.320026:0.000000
v:@0.233411:0.336464:0.241194:0.336464:0.241194:0.319996:0.233411:0.319996:0.000000
2:@0.241193:0.329997:0.246147:0.329997:0.246147:0.320379:0.241193:0.320379:0.000000
v:@0.273427:0.336464:0.281210:0.336464:0.281210:0.319996:0.273427:0.319996:0.000000
⇔:@0.340525:0.335428:0.357981:0.335428:0.357981:0.320026:0.340525:0.320026:0.000000
(  – 3)(  – 1) = 0 :@0.131968:0.364392:0.257635:0.364392:0.257635:0.347894:0.131968:0.347894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.137921:0.364507:0.145704:0.364507:0.145704:0.348039:0.137921:0.348039:0.000000
v:@0.184890:0.364507:0.192673:0.364507:0.192673:0.348039:0.184890:0.348039:0.000000
⇔ :@0.257641:0.363471:0.279285:0.363471:0.279285:0.348069:0.257641:0.348069:0.000000:0.000000
                           :@0.279285:0.364392:0.391120:0.364392:0.391120:0.347894:0.279285:0.347894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.391119:0.363471:0.408575:0.363471:0.408575:0.348069:0.391119:0.348069:0.000000
 :@0.108233:0.381742:0.112375:0.381742:0.112375:0.365245:0.108233:0.365245:0.000000
Para  – 3, resulta 3 = 3      – 1 = 1     = 2.:@0.131968:0.399093:0.462935:0.399093:0.462935:0.382595:0.131968:0.382595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.166453:0.399209:0.174236:0.399209:0.174236:0.382740:0.166453:0.382740:0.000000
x:@0.295865:0.392809:0.300223:0.392809:0.300223:0.383208:0.295865:0.383208:0.000000
–1:@0.300223:0.392741:0.311297:0.392741:0.311297:0.383123:0.300223:0.383123:0.000000:0.000000
⇔:@0.315438:0.398172:0.332894:0.398172:0.332894:0.382770:0.315438:0.382770:0.000000
x:@0.337036:0.399209:0.344511:0.399209:0.344511:0.382740:0.337036:0.382740:0.000000
⇔:@0.403519:0.398172:0.420975:0.398172:0.420975:0.382770:0.403519:0.382770:0.000000
x:@0.425117:0.399209:0.432592:0.399209:0.432592:0.382740:0.425117:0.382740:0.000000
Para  – 1, se obtiene 1 = 3      – 1 = 0     = 1.:@0.131976:0.416444:0.489018:0.416444:0.489018:0.399946:0.131976:0.399946:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.166461:0.416560:0.174244:0.416560:0.174244:0.400091:0.166461:0.400091:0.000000
x:@0.321948:0.410160:0.326306:0.410160:0.326306:0.400558:0.321948:0.400558:0.000000
–1:@0.326306:0.410092:0.337381:0.410092:0.337381:0.400474:0.326306:0.400474:0.000000:0.000000
⇔:@0.341522:0.415523:0.358978:0.415523:0.358978:0.400121:0.341522:0.400121:0.000000
x:@0.363120:0.416560:0.370595:0.416560:0.370595:0.400091:0.363120:0.400091:0.000000
⇔:@0.429603:0.415523:0.447059:0.415523:0.447059:0.400121:0.429603:0.400121:0.000000
x:@0.451201:0.416560:0.458676:0.416560:0.458676:0.400091:0.451201:0.400091:0.000000
 :@0.108241:0.448876:0.112383:0.448876:0.112383:0.432378:0.108241:0.432378:0.000000
Las soluciones son   = 1 y   = 2. Verifiquemos que   = 2 es solu-:@0.131976:0.448876:0.595727:0.448876:0.595727:0.432378:0.131976:0.432378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.269894:0.448992:0.277369:0.448992:0.277369:0.432523:0.269894:0.432523:0.000000
x:@0.324145:0.448992:0.331620:0.448992:0.331620:0.432523:0.324145:0.432523:0.000000
x:@0.499864:0.448992:0.507338:0.448992:0.507338:0.432523:0.499864:0.432523:0.000000
ción. Calculemos el primer miembro de la ecuación::@0.131976:0.466227:0.499474:0.466227:0.499474:0.449729:0.131976:0.449729:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y log:@0.188963:0.490821:0.235604:0.490821:0.235604:0.474353:0.188963:0.474353:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.196650:0.490706:0.215742:0.490706:0.215742:0.474208:0.196650:0.474208:0.000000:0.000000:0.000000
2:@0.235600:0.493989:0.240553:0.493989:0.240553:0.484371:0.235600:0.484371:0.000000
(9  + 7) = :@0.240552:0.490713:0.323066:0.490713:0.323066:0.474215:0.240552:0.474215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.255001:0.484427:0.259359:0.484427:0.259359:0.474826:0.255001:0.474826:0.000000
–1:@0.259359:0.484360:0.270433:0.484360:0.270433:0.474742:0.259359:0.474742:0.000000:0.000000
log:@0.323066:0.490828:0.342928:0.490828:0.342928:0.474360:0.323066:0.474360:0.000000:0.000000:0.000000
2:@0.342926:0.493989:0.347879:0.493989:0.347879:0.484371:0.342926:0.484371:0.000000
(9  + 7) = :@0.347879:0.490713:0.430988:0.490713:0.430988:0.474215:0.347879:0.474215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2–1:@0.362328:0.484360:0.378356:0.484360:0.378356:0.474742:0.362328:0.474742:0.000000:0.000000:0.000000
log:@0.430988:0.490828:0.450851:0.490828:0.450851:0.474360:0.430988:0.474360:0.000000:0.000000:0.000000
2:@0.450850:0.493989:0.455803:0.493989:0.455803:0.484371:0.450850:0.484371:0.000000
(16) = 4.:@0.455802:0.490713:0.515042:0.490713:0.515042:0.474215:0.455802:0.474215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108238:0.523143:0.112380:0.523143:0.112380:0.506646:0.108238:0.506646:0.000000
Calculemos el segundo miembro::@0.131973:0.523143:0.369182:0.523143:0.369182:0.506646:0.131973:0.506646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.151816:0.547738:0.159503:0.547738:0.159503:0.531269:0.151816:0.531269:0.000000
 = 2 + :@0.159503:0.547622:0.206183:0.547622:0.206183:0.531125:0.159503:0.531125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.206183:0.547738:0.226045:0.547738:0.226045:0.531269:0.206183:0.531269:0.000000:0.000000:0.000000
2:@0.226053:0.550906:0.231006:0.550906:0.231006:0.541288:0.226053:0.541288:0.000000
(3  + 1) = 2 + :@0.231006:0.547629:0.341108:0.547629:0.341108:0.531132:0.231006:0.531132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.245455:0.541344:0.249813:0.541344:0.249813:0.531743:0.245455:0.531743:0.000000
–1:@0.249813:0.541276:0.260888:0.541276:0.260888:0.531658:0.249813:0.531658:0.000000:0.000000
log:@0.341108:0.547745:0.360971:0.547745:0.360971:0.531276:0.341108:0.531276:0.000000:0.000000:0.000000
2:@0.360968:0.550906:0.365921:0.550906:0.365921:0.541288:0.360968:0.541288:0.000000
(3  + 1) = 2 + :@0.365922:0.547629:0.476618:0.547629:0.476618:0.531132:0.365922:0.531132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2–1:@0.380369:0.541276:0.396397:0.541276:0.396397:0.531658:0.380369:0.531658:0.000000:0.000000:0.000000
log:@0.476618:0.547745:0.496481:0.547745:0.496481:0.531276:0.476618:0.531276:0.000000:0.000000:0.000000
2:@0.496478:0.550906:0.501431:0.550906:0.501431:0.541288:0.496478:0.541288:0.000000
(4) = 4.:@0.501432:0.547629:0.552177:0.547629:0.552177:0.531132:0.501432:0.531132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4.:@0.108228:0.582548:0.120500:0.582548:0.120500:0.565833:0.108228:0.565833:0.000000:0.000000
  Estudia la existencia de soluciones en   y resuelve la ecuación:@0.120499:0.582331:0.569631:0.582331:0.569631:0.565833:0.120499:0.565833:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.398931:0.581244:0.412235:0.581244:0.412235:0.568382:0.398931:0.568382:0.000000
log x:@0.251563:0.606926:0.289805:0.606925:0.289805:0.590456:0.251563:0.590457:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.271423:0.610087:0.276376:0.610087:0.276376:0.600469:0.271423:0.600469:0.000000
(  + 2) – :@0.276377:0.606809:0.342129:0.606809:0.342129:0.590312:0.276377:0.590312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.342129:0.606925:0.361992:0.606925:0.361992:0.590456:0.342129:0.590456:0.000000:0.000000:0.000000
2:@0.361990:0.610087:0.366943:0.610087:0.366943:0.600469:0.361990:0.600469:0.000000
(2  – 3) = 2.:@0.366942:0.606809:0.452441:0.606809:0.452441:0.590312:0.366942:0.590312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.381391:0.606925:0.388866:0.606925:0.388866:0.590456:0.381391:0.590456:0.000000
 :@0.108229:0.639241:0.112371:0.639241:0.112371:0.622744:0.108229:0.622744:0.000000
Primeramente, la función :@0.131964:0.639241:0.304755:0.639241:0.304755:0.622744:0.131964:0.622744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Log:@0.303753:0.639357:0.326775:0.639357:0.326775:0.622888:0.303753:0.622888:0.000000:0.000000:0.000000
2:@0.326408:0.642526:0.331361:0.642526:0.331361:0.632907:0.326408:0.632907:0.000000
 tiene como dominio el conjunto ]0, ∞[.:@0.331137:0.639248:0.595772:0.639248:0.595772:0.622750:0.331137:0.622750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego,:@0.131973:0.656598:0.177940:0.656598:0.177940:0.640101:0.131973:0.640101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.182082:0.656714:0.220328:0.656714:0.220328:0.640245:0.182082:0.640245:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.201946:0.659876:0.206899:0.659876:0.206899:0.650258:0.201946:0.650258:0.000000
(  + 2) está bien definido, si y solo si,:@0.206900:0.656598:0.464838:0.656598:0.464838:0.640101:0.206900:0.640101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.283652:0.679415:0.291127:0.679415:0.291127:0.662946:0.283652:0.662946:0.000000
 + 2 > 0     > –2.:@0.291127:0.679299:0.420354:0.679295:0.420354:0.662798:0.291127:0.662801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.350439:0.678374:0.367895:0.678374:0.367895:0.662972:0.350439:0.662972:0.000000
x:@0.372037:0.679411:0.379512:0.679411:0.379512:0.662942:0.372037:0.662942:0.000000
 :@0.108238:0.711727:0.112380:0.711727:0.112380:0.695230:0.108238:0.695230:0.000000
De manera similar, :@0.131973:0.711727:0.266464:0.711727:0.266464:0.695230:0.131973:0.695230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.266464:0.711843:0.286326:0.711843:0.286326:0.695374:0.266464:0.695374:0.000000:0.000000:0.000000
2:@0.286328:0.715011:0.291281:0.715011:0.291281:0.705393:0.286328:0.705393:0.000000
(2  – 3) está bien definido, si y solo si,:@0.291281:0.711734:0.557406:0.711734:0.557406:0.695236:0.291281:0.695236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.305730:0.711849:0.313205:0.711849:0.313205:0.695380:0.305730:0.695380:0.000000
2  – 3 > 0     >      De estos dos resultados,:@0.131976:0.736213:0.449059:0.736212:0.449059:0.719714:0.131976:0.719716:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.140472:0.736329:0.147947:0.736329:0.147947:0.719860:0.140472:0.719860:0.000000
⇔:@0.206957:0.735291:0.224413:0.735291:0.224413:0.719889:0.206957:0.719889:0.000000
x:@0.228553:0.736328:0.236028:0.736328:0.236028:0.719859:0.228553:0.719859:0.000000
.:@0.271688:0.736328:0.274539:0.736328:0.274539:0.719859:0.271688:0.719859:0.000000
 :@0.108242:0.760692:0.112384:0.760692:0.112384:0.744194:0.108242:0.744194:0.000000
log x:@0.131976:0.760807:0.170219:0.760807:0.170219:0.744339:0.131976:0.744339:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.151840:0.763968:0.156793:0.763968:0.156793:0.754350:0.151840:0.754350:0.000000
(  + 2) – :@0.156792:0.760692:0.222544:0.760692:0.222544:0.744194:0.156792:0.744194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.222544:0.760807:0.242406:0.760807:0.242406:0.744339:0.222544:0.744339:0.000000:0.000000:0.000000
2:@0.242405:0.763968:0.247358:0.763968:0.247358:0.754350:0.242405:0.754350:0.000000
(2  – 3) está bien definido, si y solo si,:@0.247358:0.760692:0.513483:0.760692:0.513483:0.744194:0.247358:0.744194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.261807:0.760807:0.269282:0.760807:0.269282:0.744339:0.261807:0.744339:0.000000
 :@0.108224:0.785170:0.112366:0.785170:0.112366:0.768672:0.108224:0.768672:0.000000
x:@0.131959:0.785286:0.139434:0.785286:0.139434:0.768817:0.131959:0.768817:0.000000
 > –2  y    >    , de donde   >    . Observa la Figura 4.9.:@0.139434:0.785170:0.518632:0.785170:0.518632:0.768672:0.139434:0.768672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.201912:0.785286:0.209387:0.785286:0.209387:0.768817:0.201912:0.768817:0.000000
x:@0.321992:0.785286:0.329467:0.785286:0.329467:0.768817:0.321992:0.768817:0.000000
 :@0.108224:0.819872:0.112366:0.819872:0.112366:0.803374:0.108224:0.803374:0.000000
Si la ecuación tiene solución  , esta debe satisfacer:@0.131959:0.819872:0.487297:0.819872:0.487297:0.803374:0.131959:0.803374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.336476:0.819987:0.343951:0.819987:0.343951:0.803518:0.336476:0.803518:0.000000
 :@0.108224:0.844351:0.112366:0.844351:0.112366:0.827853:0.108224:0.827853:0.000000
la condición   >    . Resolvamos la ecuación. Tenemos:@0.131959:0.844351:0.511695:0.844351:0.511695:0.827853:0.131959:0.827853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.223335:0.844467:0.230810:0.844467:0.230810:0.827998:0.223335:0.827998:0.000000
 :@0.108224:0.870609:0.112366:0.870609:0.112366:0.854111:0.108224:0.854111:0.000000
log x:@0.131959:0.870724:0.170219:0.870727:0.170219:0.854258:0.131959:0.854256:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.151840:0.873888:0.156793:0.873888:0.156793:0.864270:0.151840:0.864270:0.000000
(  + 2) – :@0.156792:0.870611:0.222544:0.870611:0.222544:0.854113:0.156792:0.854113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.222544:0.870727:0.242406:0.870727:0.242406:0.854258:0.222544:0.854258:0.000000:0.000000:0.000000
2:@0.242405:0.873888:0.247358:0.873888:0.247358:0.864270:0.242405:0.864270:0.000000
(2  – 3) = 2   :@0.247358:0.870611:0.355841:0.870611:0.355841:0.854113:0.247358:0.854113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.261807:0.870727:0.269282:0.870727:0.269282:0.854258:0.261807:0.854258:0.000000
⇔:@0.334243:0.869690:0.351699:0.869690:0.351699:0.854288:0.334243:0.854288:0.000000
log:@0.355841:0.870727:0.375703:0.870727:0.375703:0.854258:0.355841:0.854258:0.000000:0.000000:0.000000
2:@0.375702:0.873888:0.380655:0.873888:0.380655:0.864270:0.375702:0.864270:0.000000
                = 2                = 2:@0.380656:0.870611:0.573404:0.870611:0.573404:0.854113:0.380656:0.854113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.474514:0.869690:0.491970:0.869690:0.491970:0.854288:0.474514:0.854288:0.000000
2:@0.573404:0.864258:0.578357:0.864258:0.578357:0.854640:0.573404:0.854640:0.000000
 :@0.108233:0.900786:0.112375:0.900786:0.112375:0.884289:0.108233:0.884289:0.000000
⇔:@0.131976:0.899865:0.149432:0.899865:0.149432:0.884463:0.131976:0.884463:0.000000
  + 2 = 8x – 12   7x = 14     = 2.:@0.149432:0.900786:0.401866:0.900786:0.401866:0.884289:0.149432:0.884289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.153574:0.900902:0.165191:0.900902:0.165191:0.884433:0.153574:0.884433:0.000000:0.000000
⇔:@0.264136:0.899865:0.281592:0.899865:0.281592:0.884463:0.264136:0.884463:0.000000
⇔:@0.342450:0.899865:0.359906:0.899865:0.359906:0.884463:0.342450:0.884463:0.000000
x:@0.364048:0.900902:0.371523:0.900902:0.371523:0.884433:0.364048:0.884433:0.000000
 :@0.108224:0.935488:0.112366:0.935488:0.112366:0.918990:0.108224:0.918990:0.000000
Así, la solución es   = 2. Nota que esta satisface la condición   >     .:@0.131959:0.935488:0.595747:0.935488:0.595747:0.918990:0.131959:0.918990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.257742:0.935603:0.265217:0.935603:0.265217:0.919135:0.257742:0.919135:0.000000
x:@0.553210:0.935603:0.560685:0.935603:0.560685:0.919135:0.553210:0.919135:0.000000
Recuerda que…:@0.684804:0.133752:0.794564:0.133752:0.794564:0.118280:0.684804:0.118280:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver ecuaciones :@0.685042:0.162381:0.846305:0.162381:0.846305:0.147318:0.685042:0.147318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponenciales, puedes proceder :@0.638498:0.178223:0.850349:0.178223:0.850349:0.163160:0.638498:0.163160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
así::@0.638498:0.194065:0.657496:0.194065:0.657496:0.179002:0.638498:0.179002:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.217683:0.645587:0.217683:0.645587:0.201986:0.638498:0.201986:0.000000
  Descomponer la parte :@0.645586:0.217036:0.804649:0.217036:0.804649:0.201973:0.645586:0.201973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica en sus factores :@0.655120:0.232878:0.819286:0.232878:0.819286:0.217815:0.655120:0.217815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primos e igualar bases solo si :@0.655120:0.248720:0.844631:0.248720:0.844631:0.233657:0.655120:0.233657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es factible.:@0.655120:0.264562:0.722365:0.264562:0.722365:0.249499:0.655120:0.249499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.288180:0.645586:0.288180:0.645586:0.272483:0.638498:0.272483:0.000000
  Aplicar logaritmos a los dos :@0.645586:0.287533:0.838193:0.287533:0.838193:0.272470:0.645586:0.272470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lados de la igualdad, (porque :@0.655120:0.303375:0.845653:0.303375:0.845653:0.288312:0.655120:0.288312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la función logarítmica es :@0.655120:0.319217:0.817070:0.319217:0.817070:0.304154:0.655120:0.304154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inyectiva).:@0.655120:0.335059:0.720606:0.335059:0.720606:0.319996:0.655120:0.319996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.638498:0.358677:0.645586:0.358677:0.645586:0.342980:0.638498:0.342980:0.000000
  Efectuar correctamente :@0.645586:0.358030:0.811564:0.358030:0.811564:0.342967:0.645586:0.342967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones indicadas.:@0.655120:0.373872:0.801749:0.373872:0.801749:0.358809:0.655120:0.358809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.292751:0.358042:0.300534:0.358042:0.300534:0.341573:0.292751:0.341573:0.000000
 – 3 = 0,  o:@0.300534:0.357927:0.375977:0.357927:0.375977:0.341429:0.300534:0.341429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.292751:0.375393:0.300534:0.375393:0.300534:0.358924:0.292751:0.358924:0.000000
 – 1 = 0:@0.300534:0.375277:0.355401:0.375277:0.355401:0.358780:0.300534:0.358780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.426779:0.358042:0.434562:0.358042:0.434562:0.341573:0.426779:0.341573:0.000000
 = 3,  o:@0.434562:0.357927:0.482725:0.357927:0.482725:0.341429:0.434562:0.341429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
v:@0.426779:0.375393:0.434562:0.375393:0.434562:0.358924:0.426779:0.358924:0.000000
 = 1.:@0.434562:0.375277:0.464905:0.375277:0.464905:0.358780:0.434562:0.358780:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.257432:0.729399:0.265928:0.729399:0.265928:0.712901:0.257432:0.712901:0.000000
2:@0.257432:0.745737:0.265928:0.745737:0.265928:0.729240:0.257432:0.729240:0.000000
3:@0.229231:0.777870:0.237727:0.777870:0.237727:0.761372:0.229231:0.761372:0.000000
2:@0.229231:0.794209:0.237727:0.794209:0.237727:0.777711:0.229231:0.777711:0.000000
3:@0.349478:0.777870:0.357974:0.777870:0.357974:0.761372:0.349478:0.761372:0.000000
2:@0.349478:0.794209:0.357974:0.794209:0.357974:0.777711:0.349478:0.777711:0.000000
3:@0.251905:0.837211:0.260401:0.837211:0.260401:0.820713:0.251905:0.820713:0.000000
2:@0.251905:0.853550:0.260401:0.853550:0.260401:0.837052:0.251905:0.837052:0.000000
x:@0.394079:0.863307:0.401554:0.863307:0.401554:0.846839:0.394079:0.846839:0.000000
 + 2:@0.401554:0.863192:0.429142:0.863192:0.429142:0.846694:0.401554:0.846694:0.000000:0.000000:0.000000:0.000000
2  – 3:@0.389995:0.879530:0.433245:0.879530:0.433245:0.863033:0.389995:0.863033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.398491:0.879646:0.405966:0.879646:0.405966:0.863177:0.398491:0.863177:0.000000
x:@0.504861:0.863307:0.512336:0.863307:0.512336:0.846839:0.504861:0.846839:0.000000
 + 2:@0.512336:0.863192:0.539924:0.863192:0.539924:0.846694:0.512336:0.846694:0.000000:0.000000:0.000000:0.000000
2  – 3:@0.500777:0.879530:0.544027:0.879530:0.544027:0.863033:0.500777:0.863033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.509273:0.879646:0.516748:0.879646:0.516748:0.863177:0.509273:0.863177:0.000000
p:@0.629006:0.794670:0.640487:0.794670:0.640487:0.784645:0.629006:0.784645:0.000000
 :@0.640487:0.795377:0.643368:0.795377:0.643368:0.783901:0.640487:0.783901:0.000000
Figura 4.9.:@0.643368:0.795377:0.691937:0.795377:0.691937:0.783901:0.643368:0.783901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.671023:0.704040:0.676195:0.704040:0.676195:0.693997:0.671023:0.693997:0.000000
x:@0.844561:0.708079:0.849761:0.708079:0.849761:0.696623:0.844561:0.696623:0.000000
1:@0.695813:0.707124:0.700985:0.707124:0.700985:0.697082:0.695813:0.697082:0.000000
–1:@0.655814:0.707124:0.667376:0.707124:0.667376:0.697082:0.655814:0.697082:0.000000:0.000000
–2:@0.636816:0.707124:0.648379:0.707124:0.648379:0.697082:0.636816:0.697082:0.000000:0.000000
2:@0.714799:0.707124:0.719970:0.707124:0.719970:0.697082:0.714799:0.697082:0.000000
3:@0.733796:0.707124:0.738967:0.707124:0.738967:0.697082:0.733796:0.697082:0.000000
3,5:@0.742214:0.701311:0.750800:0.701311:0.750800:0.694138:0.742214:0.694138:0.000000:0.000000:0.000000
5,5:@0.780267:0.701311:0.788853:0.701311:0.788853:0.694138:0.780267:0.694138:0.000000:0.000000:0.000000
4:@0.752798:0.707124:0.757970:0.707124:0.757970:0.697082:0.752798:0.697082:0.000000
5:@0.771795:0.707124:0.776967:0.707124:0.776967:0.697082:0.771795:0.697082:0.000000
6:@0.790793:0.707124:0.795964:0.707124:0.795964:0.697082:0.790793:0.697082:0.000000
7:@0.809790:0.707124:0.814961:0.707124:0.814961:0.697082:0.809790:0.697082:0.000000
8:@0.828787:0.707124:0.833959:0.707124:0.833959:0.697082:0.828787:0.697082:0.000000
1:@0.668167:0.684241:0.673338:0.684241:0.673338:0.674199:0.668167:0.674199:0.000000
–1:@0.661776:0.712756:0.673338:0.712756:0.673338:0.702714:0.661776:0.702714:0.000000:0.000000
–2:@0.661776:0.727014:0.673338:0.727014:0.673338:0.716972:0.661776:0.716972:0.000000:0.000000
–3:@0.661776:0.741272:0.673338:0.741272:0.673338:0.731230:0.661776:0.731230:0.000000:0.000000
2:@0.668167:0.669992:0.673338:0.669992:0.673338:0.659950:0.668167:0.659950:0.000000
3:@0.668167:0.655734:0.673338:0.655734:0.673338:0.645692:0.668167:0.645692:0.000000
y:@0.667234:0.630426:0.672581:0.630426:0.672581:0.618969:0.667234:0.618969:0.000000
y log x:@0.712747:0.652558:0.757978:0.652558:0.757978:0.641102:0.712747:0.641102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.718094:0.652478:0.731375:0.652478:0.731375:0.641001:0.718094:0.641001:0.000000:0.000000:0.000000
2:@0.745191:0.654757:0.748637:0.654757:0.748637:0.648067:0.745191:0.648067:0.000000
( +2):@0.748637:0.652478:0.775548:0.652478:0.775548:0.641001:0.748637:0.641001:0.000000:0.000000:0.000000:0.000000:0.000000
y log:@0.749307:0.675702:0.781752:0.675702:0.781752:0.664246:0.749307:0.664246:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.754654:0.675622:0.767936:0.675622:0.767936:0.664145:0.754654:0.664145:0.000000:0.000000:0.000000
2:@0.781756:0.677904:0.785202:0.677904:0.785202:0.671214:0.781756:0.671214:0.000000
(2 –3):@0.785202:0.675625:0.817809:0.675625:0.817809:0.664148:0.785202:0.664148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.795254:0.675705:0.800454:0.675705:0.800454:0.664248:0.795254:0.664248:0.000000
asíntota:@0.636635:0.763512:0.671440:0.763512:0.671440:0.753470:0.636635:0.753470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asíntota:@0.695797:0.763512:0.730601:0.763512:0.730601:0.753470:0.695797:0.753470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.640177:0.772384:0.644727:0.772384:0.644727:0.762359:0.640177:0.762359:0.000000
 = –2:@0.644727:0.772313:0.667911:0.772313:0.667911:0.762271:0.644727:0.762271:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.702715:0.776160:0.707265:0.776160:0.707265:0.766135:0.702715:0.766135:0.000000
 = :@0.707265:0.776089:0.718886:0.776089:0.718886:0.766047:0.707265:0.766047:0.000000:0.000000:0.000000
3:@0.719411:0.771601:0.724508:0.771601:0.724508:0.761703:0.719411:0.761703:0.000000
2:@0.719411:0.781404:0.724508:0.781404:0.724508:0.771506:0.719411:0.771506:0.000000
3:@0.581703:0.928390:0.590199:0.928390:0.590199:0.911892:0.581703:0.911892:0.000000
2:@0.581703:0.944728:0.590199:0.944728:0.590199:0.928230:0.581703:0.928230:0.000000
Competencia :@0.684408:0.435459:0.782031:0.435459:0.782031:0.419987:0.684408:0.419987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684408:0.448027:0.768471:0.448027:0.768471:0.432555:0.684408:0.432555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las matemáticas son un :@0.684646:0.472502:0.844432:0.472502:0.844432:0.457439:0.684646:0.457439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lenguaje universal de la natura-:@0.638103:0.488344:0.838469:0.488344:0.838469:0.473281:0.638103:0.473281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
leza. El ser humano reconoce e :@0.638103:0.504186:0.841565:0.504186:0.841565:0.489123:0.638103:0.489123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
interpreta las relaciones mate-:@0.638103:0.520028:0.832401:0.520028:0.832401:0.504965:0.638103:0.504965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
máticas, pero no las cambia.:@0.638103:0.535870:0.820139:0.535870:0.820139:0.520807:0.638103:0.520807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribe:@0.638103:0.560214:0.686229:0.560214:0.686229:0.544953:0.638103:0.544953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu opinión acerca de :@0.686229:0.560016:0.827475:0.560016:0.827475:0.544953:0.686229:0.544953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta afirmación.:@0.638103:0.575858:0.739685:0.575858:0.739685:0.560795:0.638103:0.560795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000