Question

$${ 3 }^{ x+1 } \times { 3 }^{ x+2 } =2500$$

Solve for x (complex solution)

$x=\frac{\pi n_{1}i}{\ln(3)}+\log_{3}\left(50\right)-\frac{3}{2}$
$n_{1}\in \mathrm{Z}$

Solve for x

$x=\log_{3}\left(50\right)-\frac{3}{2}\approx 2.060876795$