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: 25

Answer

$2$

Work Step by Step

Step 1. Assume the exponential function has a form of $y=b^x$ Step 2. As point $(-4,\frac{1}{16})$ is on the graph, we have $\frac{1}{16}=b^{-4}$ or $b^4=16$, thus $b=2$
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