## Intermediate Algebra for College Students (7th Edition)

$x = 39$
Subtract 7 on both sides to obtain: $(2x+3)^{\frac{1}{4}}=3$ Raise both sides to the fourth power obtain: $\left((2x+3)^{\frac{1}{4}}\right)^4=3^4 \\(2x+3)^{\frac{1}{4}(4)}=81 \\(2x+3)^1=81 \\2x+3=81$ Subtract 3 on both sides to obtain: $2x=78$ Divide 2 on both sides to obtain: $x = 39$