Answer
$\log_b\sqrt[3] {3b}=0.5215333...$
Work Step by Step
$\log_b\sqrt[3] {3b}=\log_b(3b)^{\frac{1}{3}}=\frac{1}{3}\log_b3b=\frac{1}{3}(\log_b3+\log_bb)=\frac{1}{3}(0.5646+1)=0.5215333...$
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 385: 40
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