Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises - Page 437: 23



Work Step by Step

$(\frac{1}{2})^{x}=\frac{1}{16}$ $(\frac{1}{2})^{x}=\frac{1^{4}}{2^{4}}$ $(\frac{1}{2})^{x}=(\frac{1}{2})^{4}$ $x=4$ Check: $(\frac{1}{2})^{4}\overset{?}{=}\frac{1}{16}$ $\frac{1^{4}}{2^{4}}\overset{?}{=}\frac{1}{16}$ $\frac{1}{16}=\frac{1}{16}$.
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