Answer:
Magnitude of an earthquake = 4
Step-by-step explanation:
If the given equation represents the magnitude of an earthquake
M = log ([tex]\frac{I}{S})[/tex]
Here [tex](\frac{I}{S})[/tex] is the ratio of Intensity and standard earthquake.
We have to calculate the magnitude of an earthquake that is 10000 times more intense than a standard earthquake.
Means ratio I:S is 10000.
[tex]\frac{I}{S}=\frac{10000}{1}[/tex]
Then Magnitude = [tex]log (\frac{10000}{1})[/tex]
Magnitude = log (10000) = [tex]log (10^{4})[/tex]
= 4 log(10) = 4×1 = 4
