Answer
a) $3$
b) $-1$
Work Step by Step
$ x^y = z \iff \log_{x}{z} = y$
a) $\log_{10}{1000} = x \rightarrow 10^x = 1000 \rightarrow x = 3$
b) $\log_{10}{0.1} = x \rightarrow 10^x = 0.1 \rightarrow x = -1$
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: 19
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