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Example If 8 ×1014 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 ×1014 /104.4) = (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.
Simpler method Let's begin by looking at the simpler method. This method will employ the following fact about exponential functions. If b x = b y then x
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