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

Published by Pearson

# Chapter 7 - Section 7.6 - Radical Equations - Exercise Set: 30

#### Answer

$x = 39$

#### Work Step by Step

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: $x = 39$

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