Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 458: 67

Answer

$631,000,000I_0$

Work Step by Step

Following the definition of Richter scale ratings, we have: $ log(\frac{I}{I_0})=8.8$ thus $\frac{I}{I_0}=10^{8.8}$ and $I=10^{8.8}I_0\approx631,000,000I_0$
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