which equation represents the magnitude of an earthquake that is 100 times more intense than a standard…

which equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake?\n$m = \\log\\frac{i}{100s}$\n$m = \\log\\frac{100s}{s}$\n$m = \\log(100s)$\n$m = \\log\\frac{100}{s}$

which equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake?\n$m = \\log\\frac{i}{100s}$\n$m = \\log\\frac{100s}{s}$\n$m = \\log(100s)$\n$m = \\log\\frac{100}{s}$

Answer

Answer:

$M = \log\frac{100S}{S}$

Explanation:

Step1: Recall magnitude - intensity formula

The magnitude $M$ of an earthquake is given by $M=\log\frac{I}{S}$, where $I$ is the intensity of the earthquake and $S$ is the intensity of a standard earthquake.

Step2: Determine new intensity

If an earthquake is 100 times more intense than a standard earthquake, then $I = 100S$.

Step3: Substitute new intensity

Substitute $I = 100S$ into the magnitude formula: $M=\log\frac{100S}{S}$.