College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Test - Page 327: 13

Answer

$1995$

Work Step by Step

We know that $M=\log\frac{I}{S}$ and thus $10^M=\frac{I}{S}$ Here, if $I_1,I_2$ are the intensities, we have: $I_1=S10^{6.4},I_2=S10^{3.1}$ Hence, $\frac{I_1}{I_2}=\frac{10^{6.4}}{10^{3.1}}\approx1995$ Thus, the Japan quake was more intense than the Pennsylvania quake by $1995$ times.
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