122:@0.054582:0.966558:0.078778:0.966558:0.078778:0.950778:0.054582:0.950778:0.000000:0.000000:0.000000
M.5.1.77. Aplicar las propiedades de los exponentes y los logaritmos para resolver ecuaciones e inecuaciones con funciones exponenciales y logarítmicas, con ayuda de las TIC.:@0.148948:0.942145:0.891881:0.942145:0.891881:0.932103:0.148948:0.932103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuaciones con funciones :@0.404235:0.119073:0.716231:0.119073:0.716231:0.074413:0.404235:0.074413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponenciales y logarítmicas:@0.404235:0.156792:0.756990:0.156792:0.756990:0.112132:0.404235:0.112132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.404236:0.176129:0.416508:0.176129:0.416508:0.159414:0.404236:0.159414:0.000000:0.000000
  Si existe      , determina la solución de la ecuación::@0.416508:0.175912:0.801128:0.175912:0.801128:0.159414:0.416508:0.159414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.487826:0.176028:0.495301:0.176028:0.495301:0.159559:0.487826:0.159559:0.000000
:@0.499452:0.175393:0.514104:0.175393:0.514104:0.162020:0.499452:0.162020:0.000000
:@0.518246:0.174825:0.531551:0.174825:0.531551:0.161963:0.518246:0.161963:0.000000
5  + 5  = 750.:@0.596302:0.193263:0.699697:0.193263:0.699697:0.176765:0.596302:0.176765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.604806:0.186977:0.609164:0.186977:0.609164:0.177376:0.604806:0.177376:0.000000
+1:@0.609164:0.186910:0.620418:0.186910:0.620418:0.177292:0.609164:0.177292:0.000000:0.000000
x:@0.648005:0.186977:0.652363:0.186977:0.652363:0.177376:0.648005:0.177376:0.000000
 :@0.404245:0.210614:0.408387:0.210614:0.408387:0.194116:0.404245:0.194116:0.000000
 :@0.404245:0.227964:0.408387:0.227964:0.408387:0.211467:0.404245:0.211467:0.000000
Primeramente, para       se tiene 5  = 5 × 5 , y 750 = 6 × 125, de :@0.427980:0.227964:0.895911:0.227964:0.895911:0.211467:0.427980:0.211467:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.570447:0.228080:0.577922:0.228080:0.577922:0.211611:0.570447:0.211611:0.000000
:@0.581446:0.227446:0.596099:0.227446:0.596099:0.214072:0.581446:0.214072:0.000000
:@0.599626:0.226877:0.612931:0.226877:0.612931:0.214015:0.599626:0.214015:0.000000
x:@0.682132:0.221679:0.686489:0.221679:0.686489:0.212078:0.682132:0.212078:0.000000
+1:@0.686489:0.221611:0.697744:0.221611:0.697744:0.211993:0.686489:0.211993:0.000000:0.000000
x:@0.750455:0.221679:0.754812:0.221679:0.754812:0.212078:0.750455:0.212078:0.000000
modo que la ecuación propuesta se escribe en forma equivalente :@0.427977:0.245315:0.895888:0.245315:0.895888:0.228817:0.427977:0.228817:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como::@0.427977:0.262666:0.472518:0.262666:0.472518:0.246168:0.427977:0.246168:0.000000:0.000000:0.000000:0.000000:0.000000
5  + 5  = 750   5 × 5  + 5  = 6 × 125 :@0.501744:0.280017:0.776810:0.280017:0.776810:0.263519:0.501744:0.263519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.510239:0.273731:0.514596:0.273731:0.514596:0.264130:0.510239:0.264130:0.000000
+1:@0.514596:0.273664:0.525851:0.273664:0.525851:0.264046:0.514596:0.264046:0.000000:0.000000
x:@0.553438:0.273731:0.557796:0.273731:0.557796:0.264130:0.553438:0.264130:0.000000
⇔:@0.606516:0.279096:0.623972:0.279096:0.623972:0.263694:0.606516:0.263694:0.000000
x:@0.664197:0.273731:0.668554:0.273731:0.668554:0.264130:0.664197:0.264130:0.000000
x:@0.696142:0.273731:0.700499:0.273731:0.700499:0.264130:0.696142:0.264130:0.000000
⇔:@0.776808:0.279096:0.794264:0.279096:0.794264:0.263694:0.776808:0.263694:0.000000
5 (5 + 1) = 6 × 125   5  = 125 = 5 .:@0.522265:0.297367:0.773741:0.297367:0.773741:0.280870:0.522265:0.280870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.530760:0.291082:0.535118:0.291082:0.535118:0.281481:0.530760:0.281481:0.000000
⇔:@0.659415:0.296446:0.676871:0.296446:0.676871:0.281044:0.659415:0.281044:0.000000
x:@0.689509:0.291082:0.693867:0.291082:0.693867:0.281481:0.689509:0.281481:0.000000
3:@0.766034:0.291014:0.770988:0.291014:0.770988:0.281396:0.766034:0.281396:0.000000
 :@0.404234:0.314718:0.408376:0.314718:0.408376:0.298220:0.404234:0.298220:0.000000
 :@0.404234:0.332069:0.408376:0.332069:0.408376:0.315571:0.404234:0.315571:0.000000
Puesto que la función exponencial, definida como:@0.427968:0.332069:0.783158:0.332069:0.783158:0.315571:0.427968:0.315571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404234:0.349420:0.408376:0.349420:0.408376:0.332922:0.404234:0.332922:0.000000
f x:@0.427968:0.349535:0.445692:0.349535:0.445692:0.333067:0.427968:0.333067:0.000000:0.000000:0.000000
( ) = 5 ,        , es inyectiva, se sigue que 5  = 5      = 3. Luego, :@0.432265:0.349420:0.895902:0.349420:0.895902:0.332922:0.432265:0.332922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.479456:0.343134:0.486229:0.343134:0.486229:0.333533:0.479456:0.333533:0.000000:0.000000
x:@0.501779:0.349535:0.509254:0.349535:0.509254:0.333067:0.501779:0.333067:0.000000
:@0.513512:0.348901:0.528165:0.348901:0.528165:0.335528:0.513512:0.335528:0.000000
:@0.532412:0.348333:0.545717:0.348333:0.545717:0.335471:0.532412:0.335471:0.000000
x:@0.740465:0.343134:0.744823:0.343134:0.744823:0.333533:0.740465:0.333533:0.000000
3:@0.772623:0.343067:0.777576:0.343067:0.777576:0.333449:0.772623:0.333449:0.000000
⇔:@0.781823:0.348499:0.799279:0.348499:0.799279:0.333097:0.781823:0.333097:0.000000
x:@0.803518:0.349535:0.810993:0.349535:0.810993:0.333067:0.803518:0.333067:0.000000
la solución de la ecuación propuesta es   = 3.:@0.427961:0.366770:0.747566:0.366770:0.747566:0.350273:0.427961:0.350273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.709748:0.366886:0.717223:0.366886:0.717223:0.350417:0.709748:0.350417:0.000000
2.:@0.404226:0.401689:0.416498:0.401689:0.416498:0.384974:0.404226:0.384974:0.000000:0.000000
  Considera la ecuación:     ]0, ∞[, tal que::@0.416498:0.401472:0.720202:0.401472:0.720202:0.384974:0.416498:0.384974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.590558:0.401588:0.598033:0.401588:0.598033:0.385119:0.590558:0.385119:0.000000
:@0.602193:0.400953:0.616845:0.400953:0.616845:0.387580:0.602193:0.387580:0.000000
log x:@0.500617:0.426067:0.538858:0.426066:0.538858:0.409597:0.500617:0.409598:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.520478:0.429228:0.525431:0.429228:0.525431:0.419610:0.520478:0.419610:0.000000
( ) + :@0.525430:0.425950:0.563902:0.425950:0.563902:0.409453:0.525430:0.409453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.563902:0.426066:0.608463:0.426066:0.608463:0.409597:0.563902:0.409597:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ) + :@0.583765:0.425950:0.633508:0.425950:0.633508:0.409453:0.583765:0.409453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.633508:0.426066:0.671748:0.426066:0.671748:0.409597:0.633508:0.409597:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.653368:0.429228:0.658321:0.429228:0.658321:0.419610:0.653368:0.419610:0.000000
( ) + :@0.658320:0.425950:0.696793:0.425950:0.696793:0.409453:0.658320:0.409453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log    x:@0.696793:0.426066:0.744283:0.426066:0.744283:0.409597:0.696793:0.409597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.722723:0.429228:0.727676:0.429228:0.727676:0.419610:0.722723:0.419610:0.000000
( ) =       .:@0.730855:0.425950:0.795394:0.425950:0.795394:0.409453:0.730855:0.409453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404232:0.443301:0.408374:0.443301:0.408374:0.426803:0.404232:0.426803:0.000000
 :@0.404232:0.460652:0.408374:0.460652:0.408374:0.444154:0.404232:0.444154:0.000000
Para resolver esta ecuación, transformamos todos los logaritmos a :@0.427967:0.460652:0.895922:0.460652:0.895922:0.444154:0.427967:0.444154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la misma base 2. Tenemos::@0.427967:0.478003:0.614626:0.478003:0.614626:0.461505:0.427967:0.461505:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y log x:@0.522270:0.502597:0.593609:0.502597:0.593609:0.486129:0.522270:0.486129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 = :@0.529957:0.502482:0.549049:0.502482:0.549049:0.485984:0.529957:0.485984:0.000000:0.000000:0.000000
   ( )     =         =          = 2 ,:@0.568911:0.502482:0.773728:0.502481:0.773728:0.485983:0.568911:0.485984:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.603712:0.501560:0.621168:0.501560:0.621168:0.486158:0.603712:0.486158:0.000000
x:@0.625310:0.502597:0.632785:0.502597:0.632785:0.486128:0.625310:0.486128:0.000000
–y:@0.760684:0.496197:0.770972:0.496197:0.770972:0.486595:0.760684:0.486595:0.000000:0.000000
 :@0.404240:0.519832:0.408382:0.519832:0.408382:0.503334:0.404240:0.503334:0.000000
 :@0.404240:0.537182:0.408382:0.537182:0.408382:0.520685:0.404240:0.520685:0.000000
de donde :@0.427974:0.537182:0.501009:0.537182:0.501009:0.520685:0.427974:0.520685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.501009:0.537298:0.539255:0.537298:0.539255:0.520829:0.501009:0.520829:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.520875:0.540460:0.525828:0.540460:0.525828:0.530842:0.520875:0.530842:0.000000
( ) = – , o bien   = –:@0.525827:0.537182:0.675460:0.537182:0.675460:0.520685:0.525827:0.520685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.574799:0.537298:0.582486:0.537298:0.582486:0.520829:0.574799:0.520829:0.000000
y:@0.638182:0.537298:0.645869:0.537298:0.645869:0.520829:0.638182:0.520829:0.000000
log x:@0.675460:0.537298:0.713701:0.537298:0.713701:0.520829:0.675460:0.520829:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.695319:0.540460:0.700272:0.540460:0.700272:0.530842:0.695319:0.530842:0.000000
( ). Así, :@0.700273:0.537182:0.755662:0.537182:0.755662:0.520685:0.700273:0.520685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.755662:0.537298:0.800221:0.537298:0.800221:0.520829:0.755662:0.520829:0.000000:0.000000:0.000000:0.000000:0.000000
   ( ) = –:@0.775523:0.537182:0.835765:0.537182:0.835765:0.520685:0.775523:0.520685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.835765:0.537298:0.874004:0.537298:0.874004:0.520829:0.835765:0.520829:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.855624:0.540460:0.860578:0.540460:0.860578:0.530842:0.855624:0.530842:0.000000
( ). :@0.860577:0.537182:0.886854:0.537182:0.886854:0.520685:0.860577:0.520685:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404240:0.571884:0.408382:0.571884:0.408382:0.555386:0.404240:0.555386:0.000000
A continuación, tenemos::@0.427975:0.571884:0.610608:0.571884:0.610608:0.555386:0.427975:0.555386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404240:0.589235:0.408382:0.589235:0.408382:0.572737:0.404240:0.572737:0.000000
z = :@0.548614:0.589235:0.574776:0.589235:0.574776:0.572737:0.548614:0.572737:0.000000:0.000000:0.000000:0.000000
log x:@0.574776:0.589350:0.613017:0.589350:0.613017:0.572882:0.574776:0.572882:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.594637:0.592513:0.599590:0.592513:0.599590:0.582895:0.594637:0.582895:0.000000
( )     = 8  = (2 )  = 2 .:@0.599589:0.589235:0.771138:0.589235:0.771138:0.572737:0.599589:0.572737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.623111:0.588314:0.640567:0.588314:0.640567:0.572912:0.623111:0.572912:0.000000
x:@0.644709:0.589350:0.652184:0.589350:0.652184:0.572882:0.644709:0.572882:0.000000
z:@0.679771:0.582950:0.683646:0.582950:0.683646:0.573349:0.679771:0.573349:0.000000
3:@0.717186:0.582883:0.722139:0.582883:0.722139:0.573265:0.717186:0.573265:0.000000
z:@0.728092:0.581693:0.731967:0.581693:0.731967:0.572092:0.728092:0.572092:0.000000
3:@0.759555:0.582883:0.764508:0.582883:0.764508:0.573265:0.759555:0.573265:0.000000
z:@0.764508:0.582950:0.768383:0.582950:0.768383:0.573349:0.764508:0.573349:0.000000
 :@0.404231:0.613714:0.408373:0.613714:0.408373:0.597216:0.404231:0.597216:0.000000
log x:@0.562534:0.613829:0.600779:0.613830:0.600779:0.597361:0.562534:0.597361:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.582400:0.616991:0.587353:0.616991:0.587353:0.607373:0.582400:0.607373:0.000000
( ) = 3      =      :@0.587352:0.613714:0.711227:0.613714:0.711227:0.597217:0.587352:0.597217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
z:@0.634320:0.613830:0.640967:0.613830:0.640967:0.597361:0.634320:0.597361:0.000000
⇔:@0.645107:0.612793:0.662563:0.612793:0.662563:0.597391:0.645107:0.597391:0.000000
z:@0.666705:0.613830:0.673352:0.613830:0.673352:0.597361:0.666705:0.597361:0.000000
log x:@0.710264:0.613830:0.748505:0.613830:0.748505:0.597361:0.710264:0.597361:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.730126:0.616991:0.735079:0.616991:0.735079:0.607373:0.730126:0.607373:0.000000
( ). :@0.735078:0.613714:0.761355:0.613714:0.761355:0.597217:0.735078:0.597217:0.000000:0.000000:0.000000:0.000000:0.000000
Consecuentemente,:@0.427970:0.648416:0.567470:0.648416:0.567470:0.631918:0.427970:0.631918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.571227:0.648532:0.608593:0.648532:0.608593:0.632063:0.571227:0.632063:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.590516:0.651693:0.595469:0.651693:0.595469:0.642074:0.590516:0.642074:0.000000
( ) =     :@0.595358:0.648416:0.648665:0.648416:0.648665:0.631918:0.595358:0.631918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.648472:0.648532:0.685820:0.648532:0.685820:0.632063:0.648472:0.632063:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.667743:0.651693:0.672696:0.651693:0.672696:0.642074:0.667743:0.642074:0.000000
( ). De forma similar, se obtiene: :@0.672584:0.648416:0.895923:0.648416:0.895923:0.631918:0.672584:0.631918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log    x:@0.427973:0.665882:0.476432:0.665882:0.476432:0.649414:0.427973:0.649414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.454874:0.669043:0.459827:0.669043:0.459827:0.659425:0.454874:0.659425:0.000000
( ) = 2:@0.463004:0.665767:0.509973:0.665767:0.509973:0.649269:0.463004:0.649269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.509973:0.665882:0.548215:0.665882:0.548215:0.649414:0.509973:0.649414:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.529834:0.669043:0.534787:0.669043:0.534787:0.659425:0.529834:0.659425:0.000000
( ).:@0.534788:0.665767:0.556923:0.665767:0.556923:0.649269:0.534788:0.649269:0.000000:0.000000:0.000000:0.000000
 :@0.404227:0.700468:0.408369:0.700468:0.408369:0.683970:0.404227:0.683970:0.000000
Reemplazando estos resultados en la ecuación propuesta, se ob-:@0.427962:0.700468:0.891688:0.700468:0.891688:0.683970:0.427962:0.683970:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene::@0.427962:0.717819:0.466280:0.717819:0.466280:0.701321:0.427962:0.701321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.497297:0.735285:0.535562:0.735285:0.535562:0.718817:0.497297:0.718817:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.517181:0.738446:0.522134:0.738446:0.522134:0.728828:0.517181:0.728828:0.000000
( ) – :@0.522135:0.735170:0.560299:0.735170:0.560299:0.718672:0.522135:0.718672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.560299:0.735285:0.598541:0.735285:0.598541:0.718817:0.560299:0.718817:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.580160:0.738446:0.585113:0.738446:0.585113:0.728828:0.580160:0.728828:0.000000
( ) +     :@0.585113:0.735170:0.640154:0.735170:0.640154:0.718672:0.585113:0.718672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.640154:0.735285:0.678397:0.735285:0.678397:0.718817:0.640154:0.718817:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.660015:0.738446:0.664968:0.738446:0.664968:0.728828:0.660015:0.728828:0.000000
( ) + 2:@0.664969:0.735170:0.711938:0.735170:0.711938:0.718672:0.664969:0.718672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
log x:@0.711938:0.735285:0.750179:0.735285:0.750179:0.718817:0.711938:0.718817:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.731797:0.738446:0.736751:0.738446:0.736751:0.728828:0.731797:0.728828:0.000000
( ) =      ,:@0.736751:0.735170:0.798689:0.735170:0.798689:0.718672:0.736751:0.718672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.404233:0.752520:0.408375:0.752520:0.408375:0.736023:0.404233:0.736023:0.000000
 :@0.404233:0.769871:0.408375:0.769871:0.408375:0.753373:0.404233:0.753373:0.000000
y luego de simplificar, resulta::@0.427968:0.769871:0.634391:0.769871:0.634391:0.753373:0.427968:0.753373:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
      log x:@0.491158:0.794466:0.554268:0.794465:0.554268:0.777996:0.491158:0.777997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.535887:0.797627:0.540840:0.797627:0.540840:0.788009:0.535887:0.788009:0.000000
( ) =         :@0.540840:0.794350:0.628458:0.794350:0.628458:0.777852:0.540840:0.777852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.606860:0.793429:0.624316:0.793429:0.624316:0.778027:0.606860:0.778027:0.000000
log x:@0.628458:0.794465:0.666702:0.794465:0.666702:0.777996:0.628458:0.777996:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.648320:0.797627:0.653273:0.797627:0.653273:0.788009:0.648320:0.788009:0.000000
( ) = 5     = 2  = 32.:@0.653274:0.794350:0.804835:0.794350:0.804835:0.777852:0.653274:0.777852:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.704382:0.793429:0.721838:0.793429:0.721838:0.778027:0.704382:0.778027:0.000000
x:@0.725980:0.794465:0.733455:0.794465:0.733455:0.777996:0.725980:0.777996:0.000000
5:@0.761042:0.787998:0.765995:0.787998:0.765995:0.778380:0.761042:0.778380:0.000000
 :@0.404233:0.811700:0.408375:0.811700:0.408375:0.795203:0.404233:0.795203:0.000000
 :@0.404233:0.829051:0.408375:0.829051:0.408375:0.812553:0.404233:0.812553:0.000000
La solución de la ecuación propuesta es   = 32   ]0, ∞[. Verifica.:@0.427968:0.829051:0.884301:0.829051:0.884301:0.812553:0.427968:0.812553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.714323:0.829167:0.721797:0.829167:0.721797:0.812698:0.714323:0.812698:0.000000
:@0.762032:0.828532:0.776685:0.828532:0.776685:0.815159:0.762032:0.815159:0.000000
3. :@0.404230:0.863969:0.420587:0.863969:0.420587:0.847255:0.404230:0.847255:0.000000:0.000000:0.000000
Halla, si existe      , la solución de la ecuación::@0.427965:0.863753:0.764928:0.863753:0.764928:0.847255:0.427965:0.847255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.529029:0.863868:0.536504:0.863868:0.536504:0.847399:0.529029:0.847399:0.000000
:@0.540661:0.863234:0.555313:0.863234:0.555313:0.849861:0.540661:0.849861:0.000000
:@0.559456:0.862666:0.572760:0.862666:0.572760:0.849803:0.559456:0.849803:0.000000
log:@0.535056:0.888347:0.554919:0.888347:0.554919:0.871879:0.535056:0.871879:0.000000:0.000000:0.000000
2:@0.554912:0.891509:0.559865:0.891509:0.559865:0.881891:0.554912:0.881891:0.000000
(9  + 7) = 2 + :@0.559866:0.888231:0.669966:0.888231:0.669966:0.871733:0.559866:0.871733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.574315:0.881947:0.578673:0.881947:0.578673:0.872345:0.574315:0.872345:0.000000
–1:@0.578673:0.881879:0.589747:0.881879:0.589747:0.872261:0.578673:0.872261:0.000000:0.000000
log:@0.669966:0.888347:0.689829:0.888347:0.689829:0.871878:0.669966:0.871878:0.000000:0.000000:0.000000
2:@0.689828:0.891509:0.694781:0.891509:0.694781:0.881891:0.689828:0.881891:0.000000
(3  + 1).:@0.694780:0.888231:0.760957:0.888231:0.760957:0.871733:0.694780:0.871733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.709229:0.881947:0.713586:0.881947:0.713586:0.872345:0.709229:0.872345:0.000000
–1:@0.713586:0.881879:0.724661:0.881879:0.724661:0.872261:0.713586:0.872261:0.000000:0.000000
 :@0.404241:0.905582:0.408383:0.905582:0.408383:0.889084:0.404241:0.889084:0.000000
 :@0.404241:0.922932:0.408383:0.922932:0.408383:0.906435:0.404241:0.906435:0.000000
Tenemos 9  = (3 )  = 3:@0.427976:0.922932:0.608188:0.922933:0.608188:0.906435:0.427976:0.906435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.505290:0.916648:0.509648:0.916648:0.509648:0.907047:0.505290:0.907047:0.000000
–1:@0.509648:0.916581:0.520722:0.916581:0.520722:0.906962:0.509648:0.906962:0.000000:0.000000
2 –1:@0.554262:0.916581:0.580600:0.915323:0.580600:0.905705:0.554262:0.906962:0.000000:0.000000:0.000000:0.000000
x:@0.565168:0.915391:0.569526:0.915391:0.569526:0.905790:0.565168:0.905790:0.000000
2( –1):@0.608188:0.916581:0.635515:0.916581:0.635515:0.906962:0.608188:0.906962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.616612:0.916648:0.620970:0.916648:0.620970:0.907047:0.616612:0.907047:0.000000
, :@0.635513:0.922933:0.642410:0.922933:0.642410:0.906435:0.635513:0.906435:0.000000:0.000000
log:@0.642410:0.923049:0.662273:0.923049:0.662273:0.906580:0.642410:0.906580:0.000000:0.000000:0.000000
2:@0.662272:0.926210:0.667225:0.926210:0.667225:0.916592:0.662272:0.916592:0.000000
(4) = 2. Luego,:@0.667225:0.922933:0.768079:0.922933:0.768079:0.906435:0.667225:0.906435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.199646:0.115710:0.307805:0.115710:0.307805:0.100238:0.199646:0.100238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué es una ecuación :@0.199884:0.144338:0.345441:0.144338:0.345441:0.129274:0.199884:0.129274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial?:@0.153341:0.160180:0.237087:0.160180:0.237087:0.145116:0.153341:0.145116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.199646:0.207711:0.363493:0.207711:0.363493:0.192238:0.199646:0.192238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Puedes utilizar las :@0.199884:0.236338:0.326198:0.236338:0.326198:0.221275:0.199884:0.221275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
propiedades de los logaritmos :@0.153341:0.252180:0.357629:0.252180:0.357629:0.237117:0.153341:0.237117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para resolver ecuaciones expo-:@0.153341:0.268022:0.358018:0.268022:0.358018:0.252959:0.153341:0.252959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nenciales?:@0.153341:0.283864:0.219407:0.283864:0.219407:0.268801:0.153341:0.268801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que…:@0.199646:0.401447:0.309406:0.401447:0.309406:0.385974:0.199646:0.385974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una ecuación es expo-:@0.199884:0.430074:0.347761:0.430074:0.347761:0.415011:0.199884:0.415011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nencial cuando las incógnitas :@0.153341:0.445916:0.347112:0.445916:0.347112:0.430853:0.153341:0.430853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
forman parte de los exponentes :@0.153341:0.461758:0.364050:0.461758:0.364050:0.446695:0.153341:0.446695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de ciertas bases constantes.:@0.153341:0.477600:0.331030:0.477600:0.331030:0.462537:0.153341:0.462537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para resolver una ecuación :@0.153341:0.500571:0.329837:0.500571:0.329837:0.485508:0.153341:0.485508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial, debes tener en :@0.153341:0.516413:0.337716:0.516413:0.337716:0.501350:0.153341:0.501350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta lo siguiente::@0.153341:0.532255:0.277931:0.532255:0.277931:0.517192:0.153341:0.517192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.153341:0.555873:0.160429:0.555873:0.160429:0.540176:0.153341:0.540176:0.000000
  La base es positiva:   > 0.:@0.160429:0.555226:0.331295:0.555226:0.331295:0.540163:0.160429:0.540163:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.295394:0.555332:0.303591:0.555332:0.303591:0.540295:0.295394:0.540295:0.000000
•:@0.153341:0.578844:0.160429:0.578844:0.160429:0.563147:0.153341:0.563147:0.000000
  La solución de la ecuación :@0.160429:0.578197:0.344560:0.578197:0.344560:0.563134:0.160429:0.563134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exponencial con la forma :@0.169963:0.594039:0.337700:0.594039:0.337700:0.578976:0.169963:0.578976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.169963:0.609986:0.178160:0.609986:0.178160:0.594950:0.169963:0.594950:0.000000
f x:@0.179042:0.604139:0.188477:0.604139:0.188477:0.595373:0.179042:0.595373:0.000000:0.000000:0.000000
( ):@0.181329:0.604078:0.191645:0.604078:0.191645:0.595296:0.181329:0.595296:0.000000:0.000000:0.000000
 = :@0.191645:0.609878:0.209077:0.609878:0.209077:0.594815:0.191645:0.594815:0.000000:0.000000:0.000000
a:@0.209077:0.609984:0.217274:0.609984:0.217274:0.594947:0.209077:0.594947:0.000000
g x:@0.218154:0.604139:0.229260:0.604139:0.229260:0.595373:0.218154:0.595373:0.000000:0.000000:0.000000
( ):@0.222112:0.604078:0.232429:0.604078:0.232429:0.595296:0.222112:0.595296:0.000000:0.000000:0.000000
 es la solución (o :@0.232427:0.609878:0.344438:0.609878:0.344438:0.594815:0.232427:0.594815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
soluciones) de la ecuación :@0.169965:0.625720:0.344560:0.625720:0.344560:0.610657:0.169965:0.610657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f x:@0.169965:0.641668:0.186148:0.641668:0.186148:0.626631:0.169965:0.626631:0.000000:0.000000:0.000000
( ) =  ( ). Esto se debe a que :@0.173887:0.641562:0.363874:0.641562:0.363874:0.626499:0.173887:0.626499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g x:@0.209015:0.641668:0.228065:0.641668:0.228065:0.626631:0.209015:0.626631:0.000000:0.000000:0.000000
dos potencias con la misma :@0.169965:0.657404:0.353517:0.657404:0.353517:0.642341:0.169965:0.642341:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
base son iguales, si y solo si, :@0.169965:0.673246:0.350468:0.673246:0.350468:0.658183:0.169965:0.658183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus exponentes son iguales :@0.169965:0.689088:0.347832:0.689088:0.347832:0.674025:0.169965:0.674025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(inyectividad de la función :@0.169965:0.704930:0.346407:0.704930:0.346407:0.689867:0.169965:0.689867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dada como      ).:@0.169965:0.720772:0.302358:0.720772:0.302358:0.705709:0.169965:0.705709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.247834:0.720878:0.256031:0.720878:0.256031:0.705841:0.247834:0.705841:0.000000
u:@0.255892:0.715033:0.260794:0.715033:0.260794:0.706267:0.255892:0.706267:0.000000
:@0.264576:0.720423:0.278531:0.720423:0.278531:0.707687:0.264576:0.707687:0.000000
:@0.282312:0.719770:0.294407:0.719770:0.294407:0.708077:0.282312:0.708077:0.000000
35:@0.772834:0.418262:0.790019:0.418262:0.790019:0.401764:0.772834:0.401764:0.000000:0.000000
3:@0.777169:0.434601:0.785665:0.434601:0.785665:0.418103:0.777169:0.418103:0.000000
1:@0.587888:0.423023:0.592985:0.423023:0.592985:0.413125:0.587888:0.413125:0.000000
2:@0.587888:0.432826:0.592985:0.432826:0.592985:0.422928:0.587888:0.422928:0.000000
1:@0.572243:0.501196:0.577340:0.501196:0.577340:0.491297:0.572243:0.491297:0.000000
2:@0.572243:0.510999:0.577340:0.510999:0.577340:0.501101:0.572243:0.501101:0.000000
1:@0.779021:0.535949:0.784118:0.535949:0.784118:0.526050:0.779021:0.526050:0.000000
2:@0.779021:0.545752:0.784118:0.545752:0.784118:0.535854:0.779021:0.535854:0.000000
1:@0.712160:0.495306:0.720656:0.495306:0.720656:0.478808:0.712160:0.478808:0.000000
(2):@0.703973:0.511644:0.724374:0.511644:0.724374:0.495147:0.703973:0.495147:0.000000:0.000000:0.000000
y:@0.724369:0.505366:0.728851:0.505366:0.728851:0.495765:0.724369:0.495765:0.000000
1:@0.662035:0.495390:0.670531:0.495390:0.670531:0.478892:0.662035:0.478892:0.000000
2:@0.662035:0.511728:0.670531:0.511728:0.670531:0.495231:0.662035:0.495231:0.000000
x:@0.678062:0.487848:0.682420:0.487848:0.682420:0.478247:0.678062:0.478247:0.000000
1:@0.695302:0.606256:0.703798:0.606256:0.703798:0.589758:0.695302:0.589758:0.000000
3:@0.695302:0.622595:0.703798:0.622595:0.703798:0.606097:0.695302:0.606097:0.000000
1:@0.641061:0.640836:0.649557:0.640836:0.649557:0.624338:0.641061:0.624338:0.000000
3:@0.641061:0.657174:0.649557:0.657174:0.649557:0.640677:0.641061:0.640677:0.000000
1:@0.625892:0.727620:0.634388:0.727620:0.634388:0.711122:0.625892:0.711122:0.000000
3:@0.625892:0.743958:0.634388:0.743958:0.634388:0.727461:0.625892:0.727461:0.000000
7:@0.502110:0.786949:0.510606:0.786949:0.510606:0.770451:0.502110:0.770451:0.000000
3:@0.502110:0.803288:0.510606:0.803288:0.510606:0.786790:0.502110:0.786790:0.000000
35:@0.776950:0.727620:0.794135:0.727620:0.794135:0.711122:0.776950:0.711122:0.000000:0.000000
3:@0.781304:0.743958:0.789800:0.743958:0.789800:0.727461:0.781304:0.727461:0.000000
35:@0.583797:0.786771:0.600981:0.786771:0.600981:0.770273:0.583797:0.770273:0.000000:0.000000
3:@0.588151:0.803109:0.596647:0.803109:0.596647:0.786612:0.588151:0.786612:0.000000