Answer
$x=-18$
Work Step by Step
RECALL:
$\log_b{x}=y \longrightarrow b^y=x$
Write the equation in exponential form using the rule above to obtain:
$2^5=x+50
\\32=x+50$
Solve for $x$ to obtain:
$\begin{array}{ccc}
&32-50 &= &x+50-50
\\&-18&=&x\end{array}$