Algebra and Trigonometry 10th Edition

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: 22


$\log_2\sqrt[4] {8}=\frac{3}{4}$

Work Step by Step

Use the Power Property. Also, remeber that $\log_aa=1$: $\log_2\sqrt[4] {8}=\log_2\sqrt[4] {2^3}=\log_2(2^3)^{\frac{1}{4}}=\log_22^{\frac{3}{4}}=\frac{3}{4}\log_22=\frac{3}{4}(1)=\frac{3}{4}$
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