Question

$$5 ^ { 2 y } = 25 5 ^ { - y }$$

Solve for y (complex solution)

$y=\frac{2\pi n_{1}i}{3\ln(5)}+\frac{2}{3}$
$n_{1}\in \mathrm{Z}$

Solve for y

$y=\frac{2}{3}\approx 0.666666667$