Question

$$ex-2 { e }^{ y } =0$$

Solve for x

$x=2e^{y-1}$

Show Solution

Solve for y (complex solution)

$y=\ln(x)+1-\ln(2)+2\pi n_{1}i$
$n_{1}\in \mathrm{Z}$
$x\neq 0$

Solve for y

$y=\ln(x)+1-\ln(2)$
$x>0$