What is the magnitude of this earthquake using the Richter scale, to the nearest tenth?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...
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R=log(\frac{A}{A_0})

where
A - the measure of the amplitude of the earthquake wave
A0 the amplitude of the smallest detectable wave (or standard wave).

An earthquake is measured with a wave amplitude 527 times as great as A0. What is the magnitude of this earthquake using the Richter scale, to the nearest tenth?

 

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