Answer
a) $-4$
b) $2$
Work Step by Step
$ x^y = z \iff \log_{x}{z} = y$
a) $\log_3{\frac{1}{81}} = x \rightarrow 3^x = \frac{1}{81} \rightarrow x = -4$
b) $\log_6{36} = x \rightarrow 6^x = 36 \rightarrow x = 2$
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: 20
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