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log(c^1*x)=-log(log(y/x)+1) la ecuación

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Solución numérica:

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Solución

Ha introducido [src]
   / 1  \       /   /y\    \
log\c *x/ = -log|log|-| + 1|
                \   \x/    /
$$\log{\left(c^{1} x \right)} = - \log{\left(\log{\left(\frac{y}{x} \right)} + 1 \right)}$$
Gráfica
Suma y producto de raíces [src]
suma
    /         1 \     /         1 \
    |   -1 + ---|     |   -1 + ---|
    |        c*x|     |        c*x|
I*im\x*e        / + re\x*e        /
$$\operatorname{re}{\left(x e^{-1 + \frac{1}{c x}}\right)} + i \operatorname{im}{\left(x e^{-1 + \frac{1}{c x}}\right)}$$
=
    /         1 \     /         1 \
    |   -1 + ---|     |   -1 + ---|
    |        c*x|     |        c*x|
I*im\x*e        / + re\x*e        /
$$\operatorname{re}{\left(x e^{-1 + \frac{1}{c x}}\right)} + i \operatorname{im}{\left(x e^{-1 + \frac{1}{c x}}\right)}$$
producto
    /         1 \     /         1 \
    |   -1 + ---|     |   -1 + ---|
    |        c*x|     |        c*x|
I*im\x*e        / + re\x*e        /
$$\operatorname{re}{\left(x e^{-1 + \frac{1}{c x}}\right)} + i \operatorname{im}{\left(x e^{-1 + \frac{1}{c x}}\right)}$$
=
/    /    1 \     /    1 \\    
|    |   ---|     |   ---||    
|    |   c*x|     |   c*x||  -1
\I*im\x*e   / + re\x*e   //*e  
$$\frac{\operatorname{re}{\left(x e^{\frac{1}{c x}}\right)} + i \operatorname{im}{\left(x e^{\frac{1}{c x}}\right)}}{e}$$
(i*im(x*exp(1/(c*x))) + re(x*exp(1/(c*x))))*exp(-1)
Respuesta rápida [src]
         /         1 \     /         1 \
         |   -1 + ---|     |   -1 + ---|
         |        c*x|     |        c*x|
y1 = I*im\x*e        / + re\x*e        /
$$y_{1} = \operatorname{re}{\left(x e^{-1 + \frac{1}{c x}}\right)} + i \operatorname{im}{\left(x e^{-1 + \frac{1}{c x}}\right)}$$
y1 = re(x*exp(-1 + 1/(c*x))) + i*im(x*exp(-1 + 1/(c*x)))