On the Richter scale, the magnitude M of an earthquake depends on the amount of energy E released by the earthquake as follows: M = log₁011 The amount of energy, measured in ergs, is based on the amount of ground motion recorded by a seismograph at a known distance from the epicenter of the quake. a) Find the magnitude of the earthquake if the amount of energy is 1020 b) Write the formula into its corresponding exponential form. c) Recently, an earthquake in Davao Oriental measured 6.4 on the Richter scale. Find the amount of energy, E, released by this earthquake.

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 29PT: A radiation safety officer is working with 112 grams of a radioactive substance. After 17 days,...
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28. On the Richter scale, the magnitude M of an earthquake depends on the amount of energy E released by the earthquake
as follows: M = log1011.8
The amount of energy, measured in ergs, is based on the amount of ground motion recorded by a seismograph at a known
distance from the epicenter of the quake.
a) Find the magnitude of the earthquake if the amount of energy is 1020
b) Write the formula into its corresponding exponential form.
c) Recently, an earthquake in Davao Oriental measured 6.4 on the Richter scale. Find the amount of energy, E, released
by this earthquake.
Transcribed Image Text:28. On the Richter scale, the magnitude M of an earthquake depends on the amount of energy E released by the earthquake as follows: M = log1011.8 The amount of energy, measured in ergs, is based on the amount of ground motion recorded by a seismograph at a known distance from the epicenter of the quake. a) Find the magnitude of the earthquake if the amount of energy is 1020 b) Write the formula into its corresponding exponential form. c) Recently, an earthquake in Davao Oriental measured 6.4 on the Richter scale. Find the amount of energy, E, released by this earthquake.
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