Answer
$1,258,900,000I_0$
Work Step by Step
Following the definition of Richter scale ratings, we have:
$ log(\frac{I}{I_0})=9.1$
thus $\frac{I}{I_0}=10^{9.1}$
and $I=10^{9.1}I_0\approx1,258,900,000I_0$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
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: 66
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