Example If 8 ×10^{14 }joules of energy is released at the time of an earthquake what was the magnitude of the earthquake?
Solution
There actually isn't much to do here other than to plug in the formula.
M = (2/3) log (8 ×10^{14 } /10^{4.4}) = (2/3) log (8 × 10 ^{9.6} ) = (2/3)10.50308999 )= 7.002
Thus, it looks like we'll contain a magnitude of about 7.