Consider the equation M, = - log10(E) – 10.7 relating the moment magnitude of an earthquake and the energy E (in ergs) released by it. If Mw increases by 6, by what factor does the energy increase?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 6ECP: Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.
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Consider the equation Mw
2
log10(E) – 10.7 relating the moment magnitude of an earthquake and the energy E (in ergs) released by it. If Mw increases by 6, by what factor does the energy increase?
Transcribed Image Text:Consider the equation Mw 2 log10(E) – 10.7 relating the moment magnitude of an earthquake and the energy E (in ergs) released by it. If Mw increases by 6, by what factor does the energy increase?
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Step 1

Given - Relation between Moment Magnitude and energy released in a earthquake

To find - Factor by which the energy increases when we increase Moment magnitude

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