Question

$$( 5 ^ { x } ) 5 ^ { ( x - 1 ) } = 10$$

Solve for x (complex solution)

$x=\frac{\pi n_{1}i}{\ln(5)}+\frac{\log_{5}\left(50\right)}{2}$
$n_{1}\in \mathrm{Z}$

Solve for x

$x = \frac{\log_{5} {(50)}}{2} \approx 1.215338279$