Question

$${ 3 }^{ 3x+1 } = { 3 }^{ 3 } - { 2 }^{ 2 }$$

Solve for x

$x=\frac{\log_{3}\left(23\right)-1}{3}\approx 0.61801661$

Show Solution

Solve for x (complex solution)

$x=\frac{2\pi n_{1}i}{3\ln(3)}+\frac{\log_{3}\left(23\right)}{3}-\frac{1}{3}$
$n_{1}\in \mathrm{Z}$