Question

$$( \frac { 4 } { 5 } ) ^ { - 8 } \times ( \frac { 4 } { 5 } ) ^ { - 2 } = ( \frac { 4 } { 5 } ) ^ { 5 x }$$

Solve for x

$x=-2$

Show Solution

Solve for x (complex solution)

$x=\frac{2\pi n_{1}i}{5\ln(\frac{4}{5})}-\frac{2\log_{\frac{4}{5}}\left(\frac{1024}{3125}\right)}{5}$
$n_{1}\in \mathrm{Z}$