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The magnitude R (on the Richter scale) of an earthquake of Intensity I is defined as R = l o g ( I 0 I

The magnitude R (on the Richter scale) of an earthquake of Intensity I is defined as

R=log(I0I)=minimum intensity used for comparison.

Ms. Cohen felt an earthquake in Los Angeles that had an intensity of (5106)(I0). What was its magnitude, to one decimal place, on the Richter scale? Be sure to show and explain your work, including breaking down the logarithm into its separate parts.

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