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 = $\ndone
Answer
Explanation:
Step1: Define the intensity ratio
Given that the earthquake is 10000 times more intense than a standard earthquake, so $\frac{I}{S}=10000$.
Step2: Calculate the magnitude
Substitute $\frac{I}{S}=10000$ into the magnitude - formula $M = \log\frac{I}{S}$. Since $\log_{10}10000=\log_{10}10^{4}$, and by the property of logarithms $\log_{a}a^{b}=b$, we have $M = 4$.
Answer:
4