## Calculus, 10th Edition (Anton)

$x=e^{2}$
Putting a base $e$ under each side gives $e^{\ln(x^{2})}=e^{4}$, or $x^{2}=e^{4}$. Taking the square root of each side gives $x=e^{(4*\frac{1}{2})}=e^{2}$.