Answer
$2.3666$
Work Step by Step
Applying $\displaystyle \log_{b}M=\frac{\log_{a}M}{\log_{a}b}$,
$\displaystyle \log_{7}100=\frac{\log_{10}100}{\log_{10}7}=\frac{2}{\log 7}\approx 2.36658932491$
To four decimal places,
$2.3666$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 38
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