Question

magnitude of an earthquake: $m = log\frac{i}{s}$
what is the magnitude of an earthquake that is 10,000 times more intense than a standard earth
$m=square$
done

Explanation:

Step1: Identify the relationship between intensities

Given the earthquake is 10000 times more intense than standard, so $\frac{I}{S}=10000$.

Step2: Substitute into magnitude formula

$M = \log\frac{I}{S}$, substituting $\frac{I}{S}=10000$ gives $M=\log(10000)$.

Step3: Evaluate the logarithm

Since $10000 = 10^4$, then $\log(10000)=\log(10^4)=4$.

Answer:

4