Answer
$\log_7(z-2)^{\frac{2}{3}}=\log_7\sqrt[3] {(z-2)^2}$
Work Step by Step
Use the Power Property:
$\frac{2}{3}\log_7(z-2)=\log_7(z-2)^{\frac{2}{3}}=\log_7\sqrt[3] {(z-2)^2}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 386: 63
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