Answer
$x=25$
Work Step by Step
With $125=5^3$, the given equation is equivalent to:
$x^{3/2} = 5^3$
Raise both sides to the power $\frac{2}{3}$ to obtain:
$(x^{3/2})^{2/3} = (5^3)^{2/3}
\\x=5^{3 (\frac{2}{3})}
\\x=5^{2}
\\x=25$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 1 - Equations and Inequalities - 1.6 Other Types of Equations and Applications - 1.6 Exercises - Page 148: 75
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