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loga(x)+x=5 la ecuación

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Solución numérica:

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Solución

Ha introducido [src] 
log(x)        
------ + x = 5
log(a)
x+log⁡(x)log⁡(a)=5x + \frac{\log{\left(x \right)}}{\log{\left(a \right)}} = 5
Simplificar
Gráfica
Suma y producto de raíces [src] 
suma
    / / 5       \\     / / 5       \\
    |W\a *log(a)/|     |W\a *log(a)/|
I*im|------------| + re|------------|
    \   log(a)   /     \   log(a)   /
re⁡(W(a5log⁡(a))log⁡(a))+iim⁡(W(a5log⁡(a))log⁡(a))\operatorname{re}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} 
=
    / / 5       \\     / / 5       \\
    |W\a *log(a)/|     |W\a *log(a)/|
I*im|------------| + re|------------|
    \   log(a)   /     \   log(a)   /
re⁡(W(a5log⁡(a))log⁡(a))+iim⁡(W(a5log⁡(a))log⁡(a))\operatorname{re}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} 
producto
    / / 5       \\     / / 5       \\
    |W\a *log(a)/|     |W\a *log(a)/|
I*im|------------| + re|------------|
    \   log(a)   /     \   log(a)   /
re⁡(W(a5log⁡(a))log⁡(a))+iim⁡(W(a5log⁡(a))log⁡(a))\operatorname{re}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} 
=
    / / 5       \\     / / 5       \\
    |W\a *log(a)/|     |W\a *log(a)/|
I*im|------------| + re|------------|
    \   log(a)   /     \   log(a)   /
re⁡(W(a5log⁡(a))log⁡(a))+iim⁡(W(a5log⁡(a))log⁡(a))\operatorname{re}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} 
i*im(LambertW(a^5*log(a))/log(a)) + re(LambertW(a^5*log(a))/log(a))
Respuesta rápida [src] 
         / / 5       \\     / / 5       \\
         |W\a *log(a)/|     |W\a *log(a)/|
x1 = I*im|------------| + re|------------|
         \   log(a)   /     \   log(a)   /
x1=re⁡(W(a5log⁡(a))log⁡(a))+iim⁡(W(a5log⁡(a))log⁡(a))x_{1} = \operatorname{re}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} + i \operatorname{im}{\left(\frac{W\left(a^{5} \log{\left(a \right)}\right)}{\log{\left(a \right)}}\right)} 
x1 = re(LambertW(a^5*log(a))/log(a)) + i*im(LambertW(a^5*log(a))/log(a))
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