Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding: 20

Answer

$3^{-2}=\frac{1}{9}$

Work Step by Step

We know that if $\log_a{y}=x$ then $a^x=y$. Hence if $\log_3 \left(\frac{1}{9}\right)=-2$, then $3^{-2}=\frac{1}{9}$.
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