TeX source:
\begin{array}{rclll}\mathbb{D} &=& \mathbb{R} \\\\\dfrac{e^{13x}-64}{201e^{x+52}} &=& 0 &\vert& \cdot 201e^{x+52} \\\\e^{13x}-64 &=& 0 &\vert & +64\\e^{13x} &=& 64 &\vert & \ln() \\13x &=& \ln(64) &\vert &:13 \\x &=& \dfrac{\ln(64)}{13} \approx 0{,}32\end{array}