Precalculus (6th Edition)

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: 75

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: $(x^{3/2})^{2/3} = (5^3)^{2/3} \\x=5^{3 (\frac{2}{3})} \\x=5^{2} \\x=25$
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