Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.7 - Logarithmic Scales - 4.7 Exercises - Page 386: 12

Answer

2512 times more intense

Work Step by Step

Given the magnitude equation $M = \log \frac{I}{S}$ with $S = 10^{-4}$ The question asks for how much more intense the San Francisco earthquake (M= 8.3) was compared to the Japan earthquake (M = 4.9) in 1906. S is a constant that is already factored into the Magnitudes, so the $10^{-4}$ isn't necessary $(8.3 - 4.9) = \log I$ $10^{3.4} = {I}$ $I = 2512$ times more intense
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