Answer:
[tex] M = log 100 [/tex]
Step-by-step explanation:
The formula to find the magnitude of an earthquake is given as:
[tex] M = log[\frac{I}{S}] [/tex]
Where,
M = magnitude of the earthquake
I = intensity of the earthquake
S = intensity of a standard earthquake.
In this case, we are told the intensity of the earthquake is 100 times that of a standard earthquake.
Thus, I = 100*S
The equation that represents the magnitude of this earthquake :
[tex] M = log[\frac{100*S}{S}] [/tex]
[tex] M = log[100] [/tex]
