Answer
$7.3$
Work Step by Step
$M=\log \frac{I}{S}$
where $S=10^{-4}$ cm
$I=2000$ cm
$M=\log\frac{2000}{10^{-4}}$
$M=\log(2000\times10^4)=\log(2\times 10^3\times 10^4)$
$M=\log(2\times 10^7)$
$M=\log2+\log10^7$
$M=\log2+7\log10$
$M=\log2+7=7.3$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - 6.6 Solving Logarithmic Equations - 6.6 Exercises - Page 534: 11
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