Question

The energy magnitude M of an earthquake can be modeled by the equation

M=(2/3)log E - 9.9, where E is the amount of energy released. What is the magnitude of an earthquake with an energy release of 7.079 X 10^26? Round your answer to the nearest whole number.

Answer 1

Answer: magnitude of an earthquake with an energy release of 7.079 X 10^26 =8

Explanation:

Given that the magnitude M of an earthquake can be expressed by the equation

M=(2/3)log E - 9.9

Given that Energy release , E=7.079 X 10^26

Magnotude , M=(2/3)log E - 9.9

=2/3 log7.079 X 10^26 -9.9

2/3 x 2.8499719 -9.9

17.8999813 -9.9

=7.9999

rounded to 8 magnitude