Question

$$( \frac { 2 } { 9 } ) ^ { - 4 } \times ( \frac { 2 } { 9 } ) ^ { 2 } = ( \frac { 2 } { 9 } ) ^ { 2 x - 3 }$$

Solve for x

$x=\frac{1}{2}=0.5$

Show Solution

Solve for x (complex solution)

$x=\frac{\pi n_{1}i}{\ln(\frac{2}{9})}-\frac{\log_{\frac{2}{9}}\left(\frac{9}{2}\right)}{2}$
$n_{1}\in \mathrm{Z}$