magnitude of an earthquake : $m = \\log\\frac{i}{s}$\nwhat is the magnitude of an earthquake that is 10,000…

magnitude of an earthquake : $m = \\log\\frac{i}{s}$\nwhat is the magnitude of an earthquake that is 10,000 times more intense than a standard earthquake?\n$m = 4$\ncomplete\nwhat is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake?\nround the answer to the nearest tenth.\n$m = $

magnitude of an earthquake : $m = \\log\\frac{i}{s}$\nwhat is the magnitude of an earthquake that is 10,000 times more intense than a standard earthquake?\n$m = 4$\ncomplete\nwhat is the magnitude of an earthquake that is 5,011 times more intense than a standard earthquake?\nround the answer to the nearest tenth.\n$m = $

Answer

Explanation:

Step1: Identify the intensity ratio

Given the earthquake is 5011 times more intense than a standard earthquake, so $\frac{I}{S}=5011$.

Step2: Calculate the magnitude

Use the formula $M = \log\frac{I}{S}$, substitute $\frac{I}{S}=5011$ into it. So $M=\log(5011)$. Using a calculator, $\log(5011)\approx 3.7$.

Answer:

$3.7$