Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set: 14

Answer

$\log_{64}{4}=\frac{1}{3}$

Work Step by Step

Write the radical in exponential form to obtain: $64^{\frac{1}{3}}=4$ RECALL: $a^x=y \longrightarrow \log_{a}{y}=x$ Use the rule above, with $a=64$, $x= \frac{1}{3}$, and $y=4$, to obtain: $\log_{64}{4}=\frac{1}{3}$
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