﻿148:@0.032380:0.974518:0.061577:0.974518:0.061577:0.956590:0.032380:0.956590:0.000000:0.000000:0.000000
Funciones:@0.073089:0.043661:0.163813:0.043661:0.163813:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  Si existe      , determina la solución de la ecuación::@0.293660:0.247252:0.720267:0.247252:0.720267:0.230583:0.293660:0.230583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.388762:0.247252:0.396217:0.247252:0.396217:0.230846:0.388762:0.230846:0.000000
∈ ℝ:@0.399972:0.247835:0.432332:0.247835:0.432332:0.230181:0.399972:0.230181:0.000000:0.000000:0.000000
5  + 5  = 750.:@0.557575:0.272118:0.663052:0.272114:0.663052:0.255680:0.557575:0.255684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.566464:0.266050:0.570810:0.266050:0.570810:0.256486:0.566464:0.256486:0.000000
+1:@0.570767:0.266050:0.582357:0.266050:0.582357:0.256469:0.570767:0.256469:0.000000:0.000000
x:@0.610002:0.266050:0.614348:0.266050:0.614348:0.256486:0.610002:0.256486:0.000000
Primeramente, para       se tiene 5  = 5 × 5 , y 750 = 6 × 125, de modo que la :@0.323788:0.299476:0.930732:0.299477:0.930732:0.283044:0.323788:0.283042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.473678:0.299476:0.481133:0.299476:0.481133:0.283070:0.473678:0.283070:0.000000
∈ ℝ:@0.485864:0.300059:0.519236:0.300059:0.519236:0.282404:0.485864:0.282404:0.000000:0.000000:0.000000
x:@0.595772:0.293414:0.600118:0.293414:0.600118:0.283849:0.595772:0.283849:0.000000
+1:@0.600139:0.293414:0.611794:0.293414:0.611794:0.283833:0.600139:0.283833:0.000000:0.000000
x:@0.670704:0.293414:0.675051:0.293414:0.675051:0.283849:0.670704:0.283849:0.000000
ecuación propuesta se escribe en forma equivalente de la siguiente manera::@0.323788:0.316119:0.875497:0.316119:0.875497:0.299685:0.323788:0.299685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5  + 5  = 750 :@0.476126:0.343481:0.582435:0.343482:0.582435:0.327049:0.476126:0.327047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.485017:0.337419:0.489363:0.337419:0.489363:0.327854:0.485017:0.327854:0.000000
+1:@0.489320:0.337419:0.500910:0.337419:0.500910:0.327838:0.489320:0.327838:0.000000:0.000000
x:@0.528557:0.337419:0.532903:0.337419:0.532903:0.327854:0.528557:0.327854:0.000000
⇔:@0.582306:0.343066:0.601486:0.343066:0.601486:0.326078:0.582306:0.326078:0.000000
 5 × 5  + 5  = 6 × 125 :@0.601394:0.343482:0.755547:0.343482:0.755547:0.327049:0.601394:0.327049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.641947:0.337419:0.646293:0.337419:0.646293:0.327854:0.641947:0.327854:0.000000
x:@0.673947:0.337419:0.678294:0.337419:0.678294:0.327854:0.673947:0.327854:0.000000
⇔:@0.755399:0.343066:0.774580:0.343066:0.774580:0.326078:0.755399:0.326078:0.000000
5 (5 + 1) = 6 × 125 :@0.498158:0.363702:0.634900:0.363697:0.634900:0.347263:0.498158:0.347268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.507062:0.357633:0.511408:0.357633:0.511408:0.348069:0.507062:0.348069:0.000000
⇔:@0.634698:0.363281:0.653878:0.363281:0.653878:0.346293:0.634698:0.346293:0.000000
 5  = 125 = 5 .:@0.653786:0.363697:0.752533:0.363697:0.752533:0.347263:0.653786:0.347263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.666641:0.357633:0.670988:0.357633:0.670988:0.348069:0.666641:0.348069:0.000000
3:@0.744139:0.357633:0.749376:0.357633:0.749376:0.348052:0.744139:0.348052:0.000000
Puesto que la función exponencial, definida como:@0.323773:0.391059:0.686762:0.391059:0.686762:0.374625:0.323773:0.374625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.323773:0.418421:0.340689:0.418421:0.340689:0.402015:0.323773:0.402015:0.000000:0.000000:0.000000
( ) = 5 ,        , es inyectiva, se sigue que 5  = 5  :@0.328411:0.418421:0.688414:0.418424:0.688414:0.401990:0.328411:0.401987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.374045:0.412360:0.380290:0.412360:0.380290:0.402795:0.374045:0.402795:0.000000:0.000000
x:@0.396729:0.418424:0.404184:0.418424:0.404184:0.402018:0.396729:0.402018:0.000000
∈ ℝ:@0.408510:0.419006:0.441440:0.419006:0.441440:0.401352:0.408510:0.401352:0.000000:0.000000:0.000000
x:@0.646283:0.412360:0.650629:0.412360:0.650629:0.402795:0.646283:0.402795:0.000000
3:@0.679180:0.412360:0.684417:0.412360:0.684417:0.402779:0.679180:0.402779:0.000000
⇔:@0.688763:0.418008:0.707944:0.418008:0.707944:0.401019:0.688763:0.401019:0.000000
   = 3. Luego, la solución de la :@0.707870:0.418424:0.931102:0.418424:0.931102:0.401990:0.707870:0.401990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.712251:0.418424:0.719706:0.418424:0.719706:0.402018:0.712251:0.402018:0.000000
ecuación propuesta es   = 3.:@0.323784:0.435065:0.530130:0.435065:0.530130:0.418632:0.323784:0.418632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.491824:0.435065:0.499279:0.435065:0.499279:0.418659:0.491824:0.418659:0.000000
2.  Considera la ecuación:     ]0, ∞[, tal que:@0.293660:0.462429:0.627854:0.462429:0.627854:0.445759:0.293660:0.445759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.496941:0.462429:0.504396:0.462429:0.504396:0.446023:0.496941:0.446023:0.000000
∈:@0.508151:0.463011:0.523485:0.463011:0.523485:0.445357:0.508151:0.445357:0.000000
log x:@0.466404:0.491288:0.505923:0.491293:0.505923:0.474887:0.466404:0.474882:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.488474:0.494466:0.493711:0.494466:0.493711:0.484885:0.488474:0.484885:0.000000
( ) + :@0.493663:0.491293:0.529539:0.491293:0.529539:0.474860:0.493663:0.474860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log  x:@0.529429:0.491293:0.579009:0.491293:0.579009:0.474887:0.529429:0.474887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.556176:0.487054:0.561811:0.487054:0.561811:0.476745:0.556176:0.476745:0.000000
2:@0.556176:0.496884:0.561811:0.496884:0.561811:0.486575:0.556176:0.486575:0.000000
 ( ) + :@0.563179:0.491293:0.602626:0.491293:0.602626:0.474860:0.563179:0.474860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.602515:0.491293:0.642041:0.491293:0.642041:0.474887:0.602515:0.474887:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.624592:0.494466:0.629829:0.494466:0.629829:0.484885:0.624592:0.484885:0.000000
( ) + :@0.629782:0.491293:0.665657:0.491293:0.665657:0.474860:0.629782:0.474860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log      x:@0.665547:0.491293:0.719892:0.491293:0.719892:0.474887:0.665547:0.474887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.697786:0.494466:0.703023:0.494466:0.703023:0.484885:0.697786:0.484885:0.000000
( ) =  :@0.707633:0.491293:0.747466:0.491293:0.747466:0.474860:0.707633:0.474860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35:@0.749712:0.483824:0.767677:0.483824:0.767677:0.467390:0.749712:0.467390:0.000000:0.000000
3:@0.754203:0.500216:0.763186:0.500216:0.763186:0.483782:0.754203:0.483782:0.000000
   .:@0.769960:0.491298:0.784291:0.491298:0.784291:0.474865:0.769960:0.474865:0.000000:0.000000:0.000000:0.000000
Para resolver esta ecuación, transformamos todos los logaritmos a la misma base 2. :@0.323786:0.518660:0.931358:0.518660:0.931358:0.502227:0.323786:0.502227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tenemos::@0.323786:0.535302:0.393266:0.535302:0.393266:0.518868:0.323786:0.518868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.489138:0.560958:0.496612:0.560958:0.496612:0.544552:0.489138:0.544552:0.000000
 = :@0.496538:0.560958:0.515424:0.560958:0.515424:0.544525:0.496538:0.544525:0.000000:0.000000:0.000000
log:@0.515332:0.560958:0.537439:0.560958:0.537439:0.544552:0.515332:0.544552:0.000000:0.000000:0.000000
   ( ) :@0.537384:0.560958:0.573619:0.560957:0.573619:0.544523:0.537384:0.544525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.542406:0.555825:0.548040:0.555825:0.548040:0.545516:0.542406:0.545516:0.000000
2:@0.542406:0.565655:0.548040:0.565655:0.548040:0.555346:0.542406:0.555346:0.000000
x:@0.557403:0.560957:0.564858:0.560957:0.564858:0.544551:0.557403:0.544551:0.000000
⇔:@0.573527:0.560541:0.592708:0.560541:0.592708:0.543553:0.573527:0.543553:0.000000
   = :@0.592616:0.560957:0.622840:0.560957:0.622840:0.544523:0.592616:0.544523:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.596573:0.560957:0.604028:0.560957:0.604028:0.544551:0.596573:0.544551:0.000000
1:@0.631954:0.553307:0.640936:0.553307:0.640936:0.536873:0.631954:0.536873:0.000000
2:@0.631954:0.569699:0.640936:0.569699:0.640936:0.553265:0.631954:0.553265:0.000000
x:@0.650510:0.545982:0.654856:0.545982:0.654856:0.536418:0.650510:0.536418:0.000000
  =  :@0.656430:0.560957:0.683231:0.560957:0.683231:0.544523:0.656430:0.544523:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.695644:0.552595:0.704627:0.552595:0.704627:0.536161:0.695644:0.536161:0.000000
(2):@0.688594:0.568987:0.707333:0.568987:0.707333:0.552553:0.688594:0.552553:0.000000:0.000000:0.000000
y:@0.707326:0.562921:0.711683:0.562921:0.711683:0.553356:0.707326:0.553356:0.000000
  = 2 ,:@0.717067:0.560957:0.761559:0.560957:0.761559:0.544523:0.717067:0.544523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–y:@0.748711:0.554893:0.758391:0.554893:0.758391:0.545329:0.748711:0.545329:0.000000:0.000000
de donde :@0.323779:0.591897:0.398807:0.591897:0.398807:0.575463:0.323779:0.575463:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.398679:0.591897:0.438175:0.591895:0.438175:0.575488:0.398679:0.575491:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.420725:0.595067:0.425962:0.595067:0.425962:0.585486:0.420725:0.585486:0.000000
( ) = – , o bien   = –:@0.425916:0.591895:0.570800:0.591895:0.570800:0.575461:0.425916:0.575461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.470812:0.591895:0.478285:0.591895:0.478285:0.575488:0.470812:0.575488:0.000000
y:@0.535384:0.591895:0.542858:0.591895:0.542858:0.575488:0.535384:0.575488:0.000000
log x:@0.570689:0.591895:0.610210:0.591895:0.610210:0.575488:0.570689:0.575488:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.592760:0.595067:0.597996:0.595067:0.597996:0.585486:0.592760:0.585486:0.000000
( ). Así, :@0.597950:0.591895:0.650295:0.591895:0.650295:0.575461:0.597950:0.575461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log:@0.650172:0.591895:0.672279:0.591895:0.672279:0.575488:0.650172:0.575488:0.000000:0.000000:0.000000
   ( ) = –:@0.672224:0.591895:0.732442:0.591895:0.732442:0.575461:0.672224:0.575461:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.677244:0.586761:0.682878:0.586761:0.682878:0.576452:0.677244:0.576452:0.000000
2:@0.677244:0.596591:0.682878:0.596591:0.682878:0.586282:0.677244:0.586282:0.000000
x:@0.692241:0.591895:0.699696:0.591895:0.699696:0.575488:0.692241:0.575488:0.000000
log x:@0.732332:0.591895:0.771849:0.591895:0.771849:0.575488:0.732332:0.575488:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.754400:0.595067:0.759637:0.595067:0.759637:0.585486:0.754400:0.585486:0.000000
( ). :@0.759590:0.591895:0.783813:0.591895:0.783813:0.575461:0.759590:0.575461:0.000000:0.000000:0.000000:0.000000:0.000000
A continuación, tenemos::@0.323779:0.619257:0.509464:0.619257:0.509464:0.602823:0.323779:0.602823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z = :@0.498519:0.639476:0.524750:0.639476:0.524750:0.623043:0.498519:0.623043:0.000000:0.000000:0.000000:0.000000
log x:@0.524639:0.639476:0.564155:0.639473:0.564155:0.623066:0.524639:0.623070:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.546705:0.642645:0.551942:0.642645:0.551942:0.633064:0.546705:0.633064:0.000000
( ) :@0.551895:0.639473:0.572917:0.639473:0.572917:0.623039:0.551895:0.623039:0.000000:0.000000:0.000000:0.000000
⇔:@0.572825:0.639057:0.592005:0.639057:0.592005:0.622068:0.572825:0.622068:0.000000
   = 8  = (2 )  = 2 .:@0.591913:0.639473:0.722050:0.639473:0.722050:0.623039:0.591913:0.623039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.595870:0.639473:0.603325:0.639473:0.603325:0.623066:0.595870:0.623066:0.000000
z:@0.630950:0.633409:0.635167:0.633409:0.635167:0.623844:0.630950:0.623844:0.000000
3:@0.667620:0.633409:0.672857:0.633409:0.672857:0.623828:0.667620:0.623828:0.000000
z:@0.677607:0.632148:0.681824:0.632148:0.681824:0.622583:0.677607:0.622583:0.000000
3:@0.709478:0.633409:0.714715:0.633409:0.714715:0.623828:0.709478:0.623828:0.000000
z:@0.714672:0.633409:0.718890:0.633409:0.718890:0.623844:0.714672:0.623844:0.000000
log x:@0.507183:0.661897:0.546691:0.661904:0.546691:0.645498:0.507183:0.645491:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.529243:0.665076:0.534480:0.665076:0.534480:0.655495:0.529243:0.655495:0.000000
( ) = 3  :@0.534432:0.661904:0.590298:0.661904:0.590298:0.645470:0.534432:0.645470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.579106:0.661904:0.586340:0.661904:0.586340:0.645498:0.579106:0.645498:0.000000
⇔:@0.590224:0.661488:0.609405:0.661488:0.609405:0.644499:0.590224:0.644499:0.000000
    =    :@0.609313:0.661904:0.666963:0.661911:0.666963:0.645477:0.609313:0.645470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.613270:0.661904:0.620504:0.661904:0.620504:0.645498:0.613270:0.645498:0.000000
1:@0.646623:0.652647:0.655605:0.652647:0.655605:0.636214:0.646623:0.636214:0.000000
3:@0.646623:0.669040:0.655605:0.669040:0.655605:0.652606:0.646623:0.652606:0.000000
log x:@0.665950:0.661911:0.705457:0.661904:0.705457:0.645498:0.665950:0.645505:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.688009:0.665076:0.693246:0.665076:0.693246:0.655495:0.688009:0.655495:0.000000
( ). :@0.693198:0.661904:0.717422:0.661904:0.717422:0.645470:0.693198:0.645470:0.000000:0.000000:0.000000:0.000000:0.000000
Consecuentemente, :@0.323783:0.690583:0.471289:0.690583:0.471289:0.674149:0.323783:0.674149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.470489:0.690583:0.509002:0.690589:0.509002:0.674183:0.470489:0.674177:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.491903:0.693762:0.497140:0.693762:0.497140:0.684181:0.491903:0.684181:0.000000
( ) =    :@0.496963:0.690589:0.553554:0.690584:0.553554:0.674151:0.496963:0.674156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.534061:0.685800:0.543043:0.685800:0.543043:0.669366:0.534061:0.669366:0.000000
3:@0.534061:0.699668:0.543043:0.699668:0.543043:0.683234:0.534061:0.683234:0.000000
log x:@0.552836:0.690584:0.591354:0.690589:0.591354:0.674183:0.552836:0.674178:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.574255:0.693762:0.579492:0.693762:0.579492:0.684181:0.574255:0.684181:0.000000
( ). De forma similar, se obtiene: :@0.579316:0.690589:0.802054:0.690589:0.802054:0.674156:0.579316:0.674156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log    x:@0.801355:0.690589:0.848304:0.690589:0.848304:0.674183:0.801355:0.674183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.828943:0.693762:0.834180:0.693762:0.834180:0.684181:0.828943:0.684181:0.000000
( ) = 2:@0.836082:0.690589:0.879854:0.690589:0.879854:0.674156:0.836082:0.674156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.879707:0.690589:0.919052:0.690589:0.919052:0.674183:0.879707:0.674183:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.901660:0.693762:0.906897:0.693762:0.906897:0.684181:0.901660:0.684181:0.000000
( ).:@0.906829:0.690589:0.926930:0.690589:0.926930:0.674156:0.906829:0.674156:0.000000:0.000000:0.000000:0.000000
Reemplazando estos resultados en la ecuación propuesta, se obtiene::@0.323798:0.717951:0.827179:0.717951:0.827179:0.701518:0.323798:0.701518:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.469602:0.749321:0.509085:0.749319:0.509085:0.732913:0.469602:0.732915:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.491637:0.752491:0.496874:0.752491:0.496874:0.742910:0.491637:0.742910:0.000000
( ) – :@0.496826:0.749319:0.530935:0.749319:0.530935:0.732885:0.496826:0.732885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.530824:0.749319:0.570338:0.749319:0.570338:0.732913:0.530824:0.732913:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.552888:0.752491:0.558125:0.752491:0.558125:0.742910:0.552888:0.742910:0.000000
( ) +   :@0.558079:0.749319:0.613682:0.749324:0.613682:0.732890:0.558079:0.732885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.597299:0.741849:0.606282:0.741849:0.606282:0.725415:0.597299:0.725415:0.000000
3:@0.597299:0.758241:0.606282:0.758241:0.606282:0.741807:0.597299:0.741807:0.000000
log x:@0.613608:0.749324:0.653104:0.749319:0.653104:0.732913:0.613608:0.732918:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.635655:0.752491:0.640892:0.752491:0.640892:0.742910:0.635655:0.742910:0.000000
( ) + 2:@0.640844:0.749319:0.685629:0.749319:0.685629:0.732885:0.640844:0.732885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.685519:0.749319:0.725026:0.749319:0.725026:0.732913:0.685519:0.732913:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.707576:0.752491:0.712813:0.752491:0.712813:0.742910:0.707576:0.742910:0.000000
( ) = :@0.712767:0.749319:0.748642:0.749319:0.748642:0.732885:0.712767:0.732885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35:@0.750332:0.741849:0.768298:0.741849:0.768298:0.725415:0.750332:0.725415:0.000000:0.000000
3:@0.754824:0.758241:0.763806:0.758241:0.763806:0.741807:0.754824:0.741807:0.000000
  ,:@0.770010:0.749324:0.781128:0.749324:0.781128:0.732890:0.770010:0.732890:0.000000:0.000000:0.000000
y luego de simplificar, resulta::@0.323781:0.776686:0.535744:0.776686:0.535744:0.760252:0.323781:0.760252:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       log x:@0.457602:0.808056:0.532397:0.808047:0.532397:0.791641:0.457602:0.791650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.477283:0.800578:0.486265:0.800578:0.486265:0.784144:0.477283:0.784144:0.000000
3:@0.477283:0.816970:0.486265:0.816970:0.486265:0.800537:0.477283:0.800537:0.000000
2:@0.514949:0.811219:0.520186:0.811219:0.520186:0.801638:0.514949:0.801638:0.000000
( ) =  :@0.520138:0.808047:0.560334:0.808047:0.560334:0.791613:0.520138:0.791613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
35:@0.562391:0.801471:0.580356:0.801471:0.580356:0.785037:0.562391:0.785037:0.000000:0.000000
3:@0.566882:0.817863:0.575865:0.817863:0.575865:0.801429:0.566882:0.801429:0.000000
  :@0.582436:0.808044:0.590793:0.808044:0.590793:0.791610:0.582436:0.791610:0.000000:0.000000
⇔:@0.591069:0.807628:0.610250:0.807628:0.610250:0.790640:0.591069:0.790640:0.000000
 :@0.610158:0.808044:0.614189:0.808044:0.614189:0.791610:0.610158:0.791610:0.000000
log x:@0.614115:0.808044:0.653616:0.808047:0.653616:0.791641:0.614115:0.791638:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.636167:0.811219:0.641404:0.811219:0.641404:0.801638:0.636167:0.801638:0.000000
( ) = 5 :@0.641356:0.808047:0.690099:0.808047:0.690099:0.791613:0.641356:0.791613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.689988:0.807631:0.709169:0.807631:0.709169:0.790642:0.689988:0.790642:0.000000
   = 2  = 32.:@0.709077:0.808047:0.793128:0.808047:0.793128:0.791613:0.709077:0.791613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.713034:0.808047:0.720489:0.808047:0.720489:0.791641:0.713034:0.791641:0.000000
5:@0.748105:0.801983:0.753342:0.801983:0.753342:0.792402:0.748105:0.792402:0.000000
La solución de la ecuación propuesta es   = 32   ]0, ∞[. Verifica.:@0.323779:0.835409:0.783646:0.835409:0.783646:0.818975:0.323779:0.818975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.616363:0.835409:0.623818:0.835409:0.623818:0.819003:0.616363:0.819003:0.000000
∈:@0.664295:0.835991:0.679628:0.835991:0.679628:0.818337:0.664295:0.818337:0.000000
3.  Halla, si existe      , la solución de la ecuación::@0.293660:0.862773:0.681273:0.862773:0.681273:0.846104:0.293660:0.846104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.432573:0.862773:0.440028:0.862773:0.440028:0.846367:0.432573:0.846367:0.000000
∈ ℝ:@0.443783:0.863356:0.476143:0.863356:0.476143:0.845701:0.443783:0.845701:0.000000:0.000000:0.000000
log:@0.497201:0.887639:0.519308:0.887639:0.519308:0.871233:0.497201:0.871233:0.000000:0.000000:0.000000
2:@0.519248:0.890808:0.524485:0.890808:0.524485:0.881226:0.519248:0.881226:0.000000
(9  + 7) = 2 + :@0.524437:0.887635:0.632086:0.887635:0.632086:0.871201:0.524437:0.871201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.538137:0.881571:0.542483:0.881571:0.542483:0.872007:0.538137:0.872007:0.000000
–1:@0.542440:0.881571:0.553000:0.881571:0.553000:0.871990:0.542440:0.871990:0.000000:0.000000
log:@0.631920:0.887635:0.654027:0.887635:0.654027:0.871229:0.631920:0.871229:0.000000:0.000000:0.000000
2:@0.653982:0.890808:0.659219:0.890808:0.659219:0.881226:0.653982:0.881226:0.000000
(3  + 1).:@0.659171:0.887635:0.723416:0.887635:0.723416:0.871201:0.659171:0.871201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.672871:0.881571:0.677218:0.881571:0.677218:0.872007:0.672871:0.872007:0.000000
–1:@0.677175:0.881571:0.687734:0.881571:0.687734:0.871990:0.677175:0.871990:0.000000:0.000000
Tenemos 9  = (3 )  = 3:@0.323831:0.914997:0.502820:0.914998:0.502820:0.898564:0.323831:0.898563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.402916:0.908934:0.407262:0.908934:0.407262:0.899369:0.402916:0.899369:0.000000
–1:@0.407219:0.908934:0.417779:0.908934:0.417779:0.899353:0.407219:0.899353:0.000000:0.000000
2 –1:@0.450222:0.908934:0.475072:0.907673:0.475072:0.898092:0.450222:0.899353:0.000000:0.000000:0.000000:0.000000
x:@0.460209:0.907673:0.464555:0.907673:0.464555:0.898109:0.460209:0.898109:0.000000
2( –1):@0.502718:0.908934:0.528366:0.908934:0.528366:0.899353:0.502718:0.899353:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.510702:0.908934:0.515048:0.908934:0.515048:0.899369:0.510702:0.899369:0.000000
, :@0.528317:0.914998:0.535478:0.914998:0.535478:0.898564:0.528317:0.898564:0.000000:0.000000
log:@0.535386:0.914998:0.557493:0.914998:0.557493:0.898592:0.535386:0.898592:0.000000:0.000000:0.000000
2:@0.557444:0.918170:0.562681:0.918170:0.562681:0.908589:0.557444:0.908589:0.000000
(4) = 2. Luego,:@0.562635:0.914998:0.664893:0.914998:0.664893:0.898564:0.562635:0.898564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Tema 9. Ecuaciones con funciones exponenciales y logarítmicas:@0.073089:0.096946:0.915952:0.096946:0.915952:0.068829:0.073089:0.068829:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reto matemático:@0.302768:0.140138:0.425244:0.140138:0.425244:0.124732:0.302768:0.124732:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedes utilizar las propiedades de los logaritmos para resolver  :@0.293660:0.171787:0.714701:0.171787:0.714701:0.156847:0.293660:0.156847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuaciones exponenciales?:@0.293660:0.186916:0.473298:0.186916:0.473298:0.171976:0.293660:0.171976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.078581:0.309890:0.187141:0.309890:0.187141:0.292943:0.078581:0.292943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática :@0.078581:0.326532:0.176057:0.326532:0.176057:0.309585:0.078581:0.309585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación es :@0.082576:0.346130:0.194927:0.346130:0.194927:0.331190:0.082576:0.331190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial cuando las :@0.082576:0.361259:0.242066:0.361259:0.242066:0.346319:0.082576:0.346319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
incógnitas forman parte :@0.082576:0.376388:0.245095:0.376388:0.245095:0.361448:0.082576:0.361448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los exponentes de :@0.082576:0.391517:0.228001:0.391517:0.228001:0.376577:0.082576:0.376577:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ciertas bases constantes.:@0.082576:0.406646:0.244640:0.406646:0.244640:0.391706:0.082576:0.391706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una :@0.082576:0.421775:0.198021:0.421775:0.198021:0.406835:0.082576:0.406835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación exponencial, :@0.082576:0.436904:0.233776:0.436904:0.233776:0.421964:0.082576:0.421964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debes tener en cuenta lo :@0.082576:0.452033:0.251113:0.452033:0.251113:0.437093:0.082576:0.437093:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siguiente::@0.082576:0.467162:0.146375:0.467162:0.146375:0.452222:0.082576:0.452222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  La base es positiva:  :@0.087319:0.482290:0.233597:0.482290:0.233597:0.467351:0.087319:0.467351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.101550:0.497419:0.109967:0.497419:0.109967:0.482505:0.101550:0.482505:0.000000
 > 0.:@0.109900:0.497419:0.138013:0.497419:0.138013:0.482480:0.109900:0.482480:0.000000:0.000000:0.000000:0.000000:0.000000
•  La solución de la :@0.087319:0.512548:0.215005:0.512548:0.215005:0.497608:0.087319:0.497608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación exponencial :@0.101550:0.527677:0.250096:0.527677:0.250096:0.512737:0.101550:0.512737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con la forma :@0.101550:0.542806:0.187599:0.542806:0.187599:0.527866:0.101550:0.527866:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.187461:0.542806:0.195878:0.542806:0.195878:0.527892:0.187461:0.527892:0.000000
f x:@0.196654:0.537294:0.205600:0.537294:0.205600:0.528598:0.196654:0.528598:0.000000:0.000000:0.000000
( ):@0.199103:0.537294:0.208146:0.537294:0.208146:0.528584:0.199103:0.528584:0.000000:0.000000:0.000000
 = :@0.208108:0.542806:0.225344:0.542806:0.225344:0.527866:0.208108:0.527866:0.000000:0.000000:0.000000
a:@0.101547:0.557935:0.109964:0.557935:0.109964:0.543021:0.101547:0.543021:0.000000
g x:@0.110743:0.552423:0.122109:0.552423:0.122109:0.543727:0.110743:0.543727:0.000000:0.000000:0.000000
( ):@0.115611:0.552423:0.124655:0.552423:0.124655:0.543713:0.115611:0.543713:0.000000:0.000000:0.000000
 es la solución :@0.124616:0.557935:0.220250:0.557935:0.220250:0.542995:0.124616:0.542995:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(o soluciones) de la :@0.101557:0.573064:0.231773:0.573064:0.231773:0.558124:0.101557:0.558124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ecuación  ( ) =  ( ). :@0.101557:0.588193:0.232550:0.588193:0.232550:0.573253:0.101557:0.573253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.165463:0.588193:0.180808:0.588193:0.180808:0.573278:0.165463:0.573278:0.000000:0.000000:0.000000
g x:@0.202178:0.588193:0.221673:0.588193:0.221673:0.573278:0.202178:0.573278:0.000000:0.000000:0.000000
Esto se debe a que :@0.101540:0.603322:0.229330:0.603322:0.229330:0.588382:0.101540:0.588382:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dos potencias con :@0.101540:0.618451:0.226134:0.618451:0.226134:0.603511:0.101540:0.603511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la misma base son :@0.101540:0.633580:0.226325:0.633580:0.226325:0.618640:0.101540:0.618640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales, si y solo si :@0.101540:0.648709:0.222670:0.648709:0.222670:0.633769:0.101540:0.633769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus exponentes son :@0.101540:0.663838:0.235789:0.663838:0.235789:0.648898:0.101540:0.648898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales (inyectividad :@0.101540:0.678967:0.239777:0.678967:0.239777:0.664027:0.101540:0.664027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la función dada :@0.101540:0.694096:0.227898:0.694096:0.227898:0.679156:0.101540:0.679156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como      ).:@0.101540:0.709225:0.197407:0.709225:0.197407:0.694285:0.101540:0.694285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.143810:0.709225:0.152227:0.709225:0.152227:0.694310:0.143810:0.694310:0.000000
u:@0.152177:0.703712:0.157113:0.703712:0.157113:0.695017:0.152177:0.695017:0.000000
∈ ℝ:@0.160676:0.709754:0.190211:0.709754:0.190211:0.693705:0.160676:0.693705:0.000000:0.000000:0.000000
DBA 3 (Ev. 1 G. 10) Reconoce la relación funcional entre variables asociadas a problemas EC. Comprende el concepto :@0.304177:0.965315:0.919692:0.965315:0.919692:0.953363:0.304177:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de logaritmo, y deduce y aplica sus propiedades en la solución de ecuaciones logarítmicas y problemas prácticos.:@0.304177:0.977418:0.901619:0.977418:0.901619:0.965466:0.304177:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000