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Consider the equation Mw = 2/3 l o g 10 E 10.7 relating the moment magnitude of an earthquake and the energy E (in ergs)

Consider the equation Mw = 2/3log10E10.7 relating the moment magnitude of an earthquake and the energy E (in ergs) released by it.

(a) Express E as a function of Mw

(b) Show that when Mw increases by 1, the energy increases by a factor of approximately 31.6.

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