Question

An earthquake in Oklahoma measured 3.0 on the Richter scale. Use the formula R = log(4) to determine
approximately how many times stronger the wave amplitude A of the earthquake was than Ao.

Answer 1

Applying a logarithmic function, we have that the wave amplitude A of the earthquake was 1,000 times stronger than Ao.

What is the logarithmic function for the Richter's scale of an earthquake?

The function is given by:

$R = \log{\left(\frac{A}{A_0}\right)}$

In this problem, we have that R = 3, and we have to find the ratio $\frac{A}{A_0}$, hence:

$3 = \log{\left(\frac{A}{A_0}\right)}$

Logarithm and power of 10 are inverse operations, hence, applying the power of 10 to both sides of the equality, we have that:

$\frac{A}{A_0} = 10^3 = 1000$

Hence the wave amplitude A of the earthquake was 1,000 times stronger than Ao.

More can be learned about  logarithmic functions at https://brainly.com/question/25537936

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