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1=cos(lnx) la ecuación

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Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
1 = cos(log(x))
$$1 = \cos{\left(\log{\left(x \right)} \right)}$$
Solución detallada
Tenemos la ecuación
$$1 = \cos{\left(\log{\left(x \right)} \right)}$$
cambiamos
$$1 - \cos{\left(\log{\left(x \right)} \right)} = 0$$
$$1 - \cos{\left(\log{\left(x \right)} \right)} = 0$$
Sustituimos
$$w = \cos{\left(\log{\left(x \right)} \right)}$$
Transportamos los términos libres (sin w)
del miembro izquierdo al derecho, obtenemos:
$$- w = -1$$
Dividamos ambos miembros de la ecuación en -1
w = -1 / (-1)

Obtenemos la respuesta: w = 1
hacemos cambio inverso
$$\cos{\left(\log{\left(x \right)} \right)} = w$$
sustituimos w:
Gráfica
Suma y producto de raíces [src]
suma
     2*pi
1 + e    
$$1 + e^{2 \pi}$$
=
     2*pi
1 + e    
$$1 + e^{2 \pi}$$
producto
 2*pi
e    
$$e^{2 \pi}$$
=
 2*pi
e    
$$e^{2 \pi}$$
exp(2*pi)
Respuesta rápida [src]
x1 = 1
$$x_{1} = 1$$
      2*pi
x2 = e    
$$x_{2} = e^{2 \pi}$$
x2 = exp(2*pi)
Respuesta numérica [src]
x1 = 535.490898543947
x2 = 535.490931977191
x3 = 1.00000020342548
x4 = 535.49085346151
x5 = 535.491014445255
x6 = 535.490890414705
x7 = 535.490907912944
x8 = 535.491270965521
x9 = 535.490998731248
x10 = 535.490858999394
x11 = 535.491112377678
x12 = 535.490831757185
x13 = 535.490882452298
x14 = 535.491006828996
x15 = 535.490867242087
x16 = 535.491014850915
x17 = 535.49094886917
x18 = 535.490923541627
x19 = 535.490845885084
x20 = 535.491939559244
x21 = 535.490940425642
x22 = 535.490950710626
x23 = 535.490874707644
x24 = 535.490837366649
x25 = 535.490974031313
x26 = 535.490837656045
x27 = 535.490965683692
x28 = 535.490833885466
x29 = 535.491547386266
x30 = 535.490860129894
x31 = 535.490990562031
x32 = 535.490915140066
x33 = 535.490847347832
x34 = 535.490841925907
x35 = 535.490957292747
x36 = 535.490878775977
x37 = 535.490906797573
x38 = 535.490833094397
x39 = 535.490982326612
x40 = 535.49083133748
x40 = 535.49083133748