College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.3 - Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Page 427: 26


$\log_{27} 81=\dfrac{4}{3}$

Work Step by Step

Since $y=b^x$ is equivalent to $\log_b y=x,$ then the given equation, $ 27^{4/3}=81 ,$ is equivalent to \begin{array}{l}\require{cancel} \log_{27} 81=\dfrac{4}{3} .\end{array}
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