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.
Chapter6: Exponential And Logarithmic Functions
Section: Chapter Questions
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