Answer:

Explanation:
The formula to find the magnitude of an earthquake is given as:
![M = log[(I)/(S)]](https://img.qammunity.org/2021/formulas/mathematics/college/pdoa9dz41yiqox6o10ukd0anwaeko9gilc.png)
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 :
![M = log[(100*S)/(S)]](https://img.qammunity.org/2021/formulas/mathematics/college/cwtssjjaysj6f698wangsgqgf1451xpo07.png)
![M = log[100]](https://img.qammunity.org/2021/formulas/mathematics/college/gm5ym3hbhuslh96i73ddirk82h74ibnlpb.png)