Solve the problem.
-An earthquake was recorded with an intensity which was 50,119 times more powerful than a reference level earthquake, or 50,119 · I0. What is the magnitude of this earthquake on the Richter
Scale (rounded to the nearest tenth)? Intensity on the Richter scale is $$\log _ { 10 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$$
A) 4.7
B) 3.7
C) 10.8
D) 0.5

Question

Quizplus · Accepted Answer

The magnitude of the earthquake on the Richter Scale is calculated using the formula $\log _ { 10 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$, where $I$ is the intensity of the earthquake and $I_0$ is the reference level intensity. Substituting $50,119$ for $I/I_0$, we get $\log _ { 10 } (50,119)$. The logarithm of 50,119 to the base 10 is approximately 4.7, rounding to the nearest tenth.

Solve the Problem log⁡10(I/I0)\log _ { 10 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)log10​(I/I0​)

Solve the Problem $\log _ { 10 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$