## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$x=81$
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.