Answer
$I=125,892.54$ cm
Work Step by Step
$S=10^{-4}$
$M=9.1$
Putting in the formula
$M=\log\frac{I}{S}$
and solving for $I$:
$9.1=\log \frac{I}{10^{-4}}$
$\log(10^4I)=9.1$
$10^4I=10^{9.1}$
$I=\frac{10^{9.1}}{10^4}=10^{5.1}=125,892.54$ cm
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: 16
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