Answer
$M=7$
Work Step by Step
$I=1000 cm=10^3cm$
$S=10^{-4}cm $
$M=\log\frac{I}{S}$
Putting the values of $I$ and $S$ in the above formula
$M=\log\frac{10^3}{10^{-4}}$
$=\log(10^3\times 10^4)$
$=\log10^{3+4}$
$=\log10^7$
$=7\log10=7$
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: 12
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