Answer
$x=-4$
Work Step by Step
RECALL:
$\ln{(x)}=y \longrightarrow e^y = x$
Use the rule above to obtain:
$\ln{(e^{-2x})}=8 \longrightarrow e^8=e^{-2x}$
Use the rule $a^m=a^n \longrightarrow m=n$ to obtain:
$8=-2x$
Divide both sides by $-2$ to obtain:
$\frac{8}{-2} = \frac{-2x}{-2}
\\-4 = x$
