Answer
5
Work Step by Step
$\log_{2}(8^{\frac{5}{3}})=x$ if
$2^{x}= 8^{5/3}=(8^{1/3})^{5}= 2^{5}$.
$\implies x=5$
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 7 - Exponential Functions - 7.3 Logarithms and Their Derivatives - Exercises - Page 342: 6
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