Answer:
The magnitude of the earthquake is 3.7 (approx)
Step-by-step explanation:
We know that the magnitude of an earthquake is,
[tex]M=log(\frac{I_1}{I_0})[/tex]
Where, [tex]I_0[/tex] is the standard intensity of earthquake,
[tex]I_1[/tex] is the measured intensity of earthquake,
Here, [tex]I_1=5011I_0[/tex]
[tex]\implies M=log(\frac{5011I_0}{I_0})[/tex]
[tex]M=log(5011)=3.699924\approx 3.7[/tex]
Hence, the magnitude of the earthquake is 3.7 (approx)
The magnitude of an earthquake is 3.7
The formula for calculating the magnitude of an earthquake is expressed as:
If the magnitude of an earthquake is 5,011 times more intense than a standard earthquake, then
I = 5011Io
Substitute the given valuee
[tex]M =log\frac{5011I_o}{I_o}\\M = log5011\\M=3.70[/tex]
hence the magnitude of an earthquake is 3.7
Learn more on the magnitude of an earthquake: https://brainly.com/question/18109453
