College Algebra 7th Edition

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

Chapter 4, Exponential and Logarithmic Functions - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 422: 13

Answer

$6.31$

Work Step by Step

We know that $M=\log\frac{I}{S}$ and thus $10^M=\frac{I}{S}$ Hence, here if $I_1,I_2$ are the intensities, we have: $I_1=S10^{9.1},I_2=S10^{8.3}$ Hence, $\frac{I_1}{I_2}=\frac{10^{9.1}}{10^{8.3}}\approx6.31$
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