Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises - Page 492: 24

Answer

$3$

Work Step by Step

Step 1. Assume the logarithmic function has a form of $y=log_bx$ Step 2. As point $(81,4)$ is on the graph, we have $4=log_b81$ or $b^4=81$, thus $b=3$
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