The Richter magnitude is a quantity of the form $log\left(\frac{S}{S_0}\right)$

Question

Quizplus · Accepted Answer

The Richter magnitude scale is indeed defined as $M_L = \log_{10}\left(\frac{A}{A_0}\right)$, where $A$ is the maximum amplitude of the seismic waves recorded by a seismograph, and $A_0$ is a reference amplitude. This can be generalized in the form $log\left(\frac{S}{S_0}\right)$, where $S$ represents the size of the earthquake (in terms of amplitude) and $S_0$ is a reference size, making the statement true.

The Richter Magnitude Is a Quantity of the Form log(SS0)log\left(\frac{S}{S_0}\right)log(S0​S​)

The Richter Magnitude Is a Quantity of the Form $log\left(\frac{S}{S_0}\right)$