Respuesta :
Answer:
3.0
Step-by-step explanation:
The magnitude of an earthquake is given as:
[tex]M = log_{10}\frac{I}{S}[/tex]
where I = intensity of earthquake
S = intensity of standard earth quake
When the intensity of the earthquake is 1000 times the intensity of a standard earth, that means that:
I = 1000S
Therefore:
[tex]M = log_{10}\frac{1000S}{S} \\\\M = log_{10}1000\\\\M = 3.0[/tex]
The magnitude is 3.0