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: 76

Answer

$x=16$

Work Step by Step

With $32=2^5$, the given equation is equivalent to: $x^{5/4} = 2^5$ Raise both sides to the power $\frac{4}{5}$ to obtain: $(x^{5/4})^{4/5} = (2^5)^{4/5} \\x=2^{5 (\frac{4}{5})} \\x=2^{4} \\x=16$
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