Q:

Which equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake?

Accepted Solution

A:
we know that
 the magnitude of an earthquake s
M=log[I/S]
where
I----------> is the intensity of the earthquake
S---------> is the intensity of a standard earthquake

in this problem
I=100S
then
M=log[100S/S]
this equation represents the magnitude of an earthquake that is 100 times more intense than a standard earthquake 

M=log(100)-----------> M=2
The magnitude of this earthquake is 2 on the Richter scale