Question

$$( \frac { 5 } { 3 } ) ^ { 5 } \times ( \frac { 5 } { 3 } ) ^ { 11 } = ( \frac { 5 } { 3 } ) ^ { 8 x }$$

Solve for x

$x=2$

Show Solution

Solve for x (complex solution)

$x=\frac{\pi n_{1}i}{4\ln(\frac{5}{3})}-\frac{\log_{\frac{5}{3}}\left(\frac{6561}{390625}\right)}{4}$
$n_{1}\in \mathrm{Z}$