College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Summary, Review, and Test - Review Exercises - Page 511: 47

Answer

$3.0$

Work Step by Step

Substitute $I_{0}$ with $1000I_{0}$ in the formula for R: $ R=\displaystyle \log\frac{1000I_{0}}{I_{0}}\qquad$ ... reduce $I_{0}$ $=\log 1000$ $=\log 10^{3}$ ... Basic Logarithmic Property $\log_{b}b^{x}=x$... $R=3$ On the Richter scale, the magnitude is 3.0.
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