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Math Question

TME REMAN \( 49: 08 \)
The magnitude, \( M \), of an earthquake is defined to be \( M=\log \frac{1}{S} \), where \( / \) is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and \( S \) is the intensity of a "standard" earthquake, which is barely detectable. Which equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake?
\( M=\log \frac{1}{10 S} \)
\( M=\log (10 S) \)
\( M=\log \frac{10 S}{S} \)
\( M=\log \frac{10}{S} \)

Solution

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