Answer
$x=-9$
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:
$2^4=x+25
\\16=x+25$
Solve for $x$ to obtain:
$\begin{array}{ccc}
&16-25 &= &x+25-25
\\&-9&=&x\end{array}$
