Answer
$x=31$
Work Step by Step
Raising both sides of the equation to the $\text{
fourth
}$ power, the solution/s to the given equation, $
\sqrt[4]{x-15}=2
,$ is/are
\begin{array}{l}\require{cancel}
x-15=16
\\\\
x=16+15
\\\\
x=31
.\end{array}
Upon checking, $
x=31
$ satisfies the original equation.