Answer
a) $\frac{1}{3}$
b) $\frac{1}{16}$
Work Step by Step
$ x^y = z \iff \log_{x}{z} = y$
a) $\log_3{x} = -1 \rightarrow 3^{-1} = x \rightarrow x = \frac{1}{3}$
b) $\log_2{x} = -4 \rightarrow 2^{-4} = x \rightarrow x = \frac{1}{16}$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises - Page 362: 21
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