$$5 ^ { x + 1 } = 26 - 5 ^ { 1 - x }$$
$x=\frac{i\times 2\pi n_{1}}{\ln(5)}-1\text{, }n_{1}\in \mathrm{Z}$
$x=\frac{i\times 2\pi n_{2}}{\ln(5)}+1\text{, }n_{2}\in \mathrm{Z}$
$x=-1$
$x=1$
