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Sagot :
To determine the correct equation to find the intensity [tex]\( I \)[/tex] of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1, we start with the given formula:
[tex]\[ M = \log \left(\frac{I}{I_0}\right) \][/tex]
Given:
- [tex]\( M = 4.8 \)[/tex]
- [tex]\( I_0 = 1 \)[/tex]
We substitute these values into the formula:
[tex]\[ 4.8 = \log \left(\frac{I}{1}\right) \][/tex]
Simplifying the fraction inside the logarithm:
[tex]\[ 4.8 = \log (I) \][/tex]
This is the equation that represents the relationship we're looking for.
Therefore, the correct equation to find the intensity [tex]\( I \)[/tex] of the earthquake is:
C. [tex]\( 4.8 = \log (I) \)[/tex]
[tex]\[ M = \log \left(\frac{I}{I_0}\right) \][/tex]
Given:
- [tex]\( M = 4.8 \)[/tex]
- [tex]\( I_0 = 1 \)[/tex]
We substitute these values into the formula:
[tex]\[ 4.8 = \log \left(\frac{I}{1}\right) \][/tex]
Simplifying the fraction inside the logarithm:
[tex]\[ 4.8 = \log (I) \][/tex]
This is the equation that represents the relationship we're looking for.
Therefore, the correct equation to find the intensity [tex]\( I \)[/tex] of the earthquake is:
C. [tex]\( 4.8 = \log (I) \)[/tex]
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