Question

The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake, . Which equation could be used to find the intensity of an earthquake with a Richter scale magnitude of 4.8 in reference to an earthquake with an intensity of 1? A. B. C. D.

Answer 1

Answer:

The equation is = I = $e^{4.8}$

Step-by-step explanation:

As given ,

M - magnitude of an earthquake

I - intensity of earthquake

I₀ - intensity of a reference earthquake

The relation between the three is as follows :

M = log($\frac{I}{I0}$ )

As given -

M = 4.8,  I₀ = 1

⇒ 4.8 = log($\frac{I}{1}$) = log(I)

⇒ 4.8 = log(I)

⇒I = $e^{4.8}$

So, the equation becomes I = $e^{4.8}$

Answer 2

Answer:

4.8=log(I)

Step-by-step explanation:

See attached submission that shows it's correct