Question

$$3 ^ { y } = x + 4$$

Solve for y (complex solution)

$y=\log_{3}\left(x+4\right)+\frac{2\pi n_{1}i}{\ln(3)}$
$n_{1}\in \mathrm{Z}$
$x\neq -4$

Solve for x

$x=3^{y}-4$

Solve for y

$y=\log_{3}\left(x+4\right)$
$x>-4$