the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, where i is the intensity of the…

the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, where i 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?\n$m=log\frac{i}{10s}$\n$m = log(10s)$\n$m=log\frac{10s}{s}$\n$m=log\frac{10}{s}$

the magnitude, m, of an earthquake is defined to be $m = log\frac{i}{s}$, where i 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?\n$m=log\frac{i}{10s}$\n$m = log(10s)$\n$m=log\frac{10s}{s}$\n$m=log\frac{10}{s}$

Answer

Answer:

D. $M = \log\frac{10}{S}$

Explanation:

Step1: Identify given information

The magnitude formula is $M=\log\frac{I}{S}$. The earthquake is 10 times more intense than standard, so $I = 10$.

Step2: Substitute $I$ value

Substitute $I = 10$ into $M=\log\frac{I}{S}$, we get $M=\log\frac{10}{S}$.