Answer
$x=81$
Work Step by Step
Using the properties of equality, the given equation, $
x^{1/4}-2=1
$, is equivalent to
\begin{array}{l}
x^{1/4}=1+2
\\\\
x^{1/4}=3
.\end{array}
Raising both sides to the $\text{
4th
}$ power, the solution to the equation above, $
x^{1/4}=3
$, is
\begin{array}{l}
x=3^4
\\\\
x=81
.\end{array}
Upon checking, $
x=81
$ satisfies the given equation.