Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Chapter Test - Page 372: 6



Work Step by Step

Recall the logarithmic property: When $a^x=y$, then $\log_a y =x$ and vice-versa. Applying this rule, we obtain: $\log_b \ 16=2 \\ b^2=16$ Simplify the equation to obtain: $b^{2}=16 \\ b^2 =4^2$ Apply the rule: $a^m=a^n \longrightarrow m=n$ if $a\ne1,a\ne-1$ So, $b=4$
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