Question

$$2u+e^{2x}=45$$

Solve for u

$u=\frac{45-e^{2x}}{2}$

Show Solution

Solve for x (complex solution)

$x=\frac{\ln(45-2u)}{2}+\pi n_{1}i$
$n_{1}\in \mathrm{Z}$
$u\neq \frac{45}{2}$

Solve for x

$x=\frac{\ln(45-2u)}{2}$
$u<\frac{45}{2}$