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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.

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.

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.CT: Chapter Test
Problem 11CT
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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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