# The magnitude, M, of an earthquake, is represented by the equation M=2/  3 log (E/ E 0) where E is the amount of energy released by the earthquake in joules and E0=10 4.4 is the assigned minimal measure released by an earthquake.To the nearest tenth, what would be the magnitude of an earthquake releasing 2.1⋅10 14 joules of energy?

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The magnitude, M, of an earthquake, is represented by the equation M=2/  3 log (E/ E 0) where E is the amount of energy released by the earthquake in joules and E0=10 4.4 is the assigned minimal measure released by an earthquake.

To the nearest tenth, what would be the magnitude of an earthquake releasing 2.1⋅10 14 joules of energy?

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Step 1

Introduction:

Denote the magnitude of an earthquake as M.

Denote the amount of energy released by the earthquake in joules as E.

Denote the assigned minimal measure released by an earthquake as E0.

The formula to find the magnitude of an earthquake is,

Step 2

Obtain the magnitude of an earthquake releasing 2.1*1014 joules of energy:

Here, it is given that the assigned minimal measure released by an earthquake is E0 = 104.4.

The amount of energy released by the earthquake in joules is E = 2.1*1014.

The magnitude of an earthquake releasing 2.1*1014 joules of energy is obtained as 0 from the calculation given below:

Step 3

Obtain the magnitude of an earthquake releasing 2.1*1014 joules of energy (With base 10):

Here, it is given that the assigned minimal measure released by an earthquake is E0 = 104.4.

The amount of energy released by the earthquake in joules is E = 2.1...

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