Answer
$x=5$
Work Step by Step
Given $(x+3)^{\frac{5}{3}}=32$
But 32 is $2^5$
Hence $(x+3)^{\frac{5}{3}}=2^5$
Taking the 5th root on both sides,
$(x+3)^{\frac{1}{3}}=2$
Now cubing both sides,
$(x+3)=2^3$
$x=8-3=5$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 8 Rational Functions - 8.1 Model Inverse and Joint Variation - 8.1 Exercises - Mixed Review - Page 557: 54
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