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The Geologist C log10(IS)\log _ { 10 } \left( \frac { I } { S } \right)

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The geologist C. F. Richter defined the magnitude of an earthquake to be log10(IS) \log _ { 10 } \left( \frac { I } { S } \right) where II is the intensity of the quake (measured by the amplitude of a seismograph 100 km100 \mathrm {~km} from the epicenter) and SS is the intensity of a "standard" earthquake (where the amplitude is only 1 micron =104= 10 ^ { - 4 } cm\mathrm { cm } ) . The 1989 Loma Prieta earthquake that shook San Francisco had a magnitude of 7.97.9 on the Richter scale. The 1906 San Francisco earthquake was 12 times as intense. What was its magnitude on the Richter scale?


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