Solve the problem.
-An earthquake had an intensity $104.7$ times more powerful than a reference level earthquake, or $104.7$. $\mathrm { I } _ { 0 }$. What was the magnitude of this earthquake on the Richter scale? $\mathrm { R } = \log _ { 10 } \left( \mathrm { I } / \mathrm { I } _ { 0 } \right)$.
A) $4.7$
B) $10.8$
C) $14.7$
D) $5.3$

Question

Quizplus · Accepted Answer

The magnitude $R$ on the Richter scale is calculated using the formula $R = \log_{10}(I/I_0)$, where $I$ is the intensity of the earthquake and $I_0$ is the reference level intensity. Given $I = 104.7 \times I_0$, substituting into the formula gives $R = \log_{10}(104.7) \approx 2.02$. However, the correct calculation should be $R = \log_{10}(104.7) \approx 2.02$, indicating a mistake in the explanation process. The correct calculation for $R = \log_{10}(104.7)$ actually yields approximately $2.02$, not matching any of the provided options, suggesting an error in the interpretation of the question or the calculation. The correct approach to find the magnitude $R$ on the Richter scale for an earthquake 104.7 times more powerful than a reference level is indeed to use the formula $R = \log_{10}(104.7)$, but the correct answer should closely align with the options given, indicating a need to reevaluate the calculation or the interpretation of the options provided.

Solve the Problem 104.7104.7104.7 Times More Powerful Than a Reference Level Earthquake, Or

Solve the Problem $104.7$ Times More Powerful Than a Reference Level Earthquake, Or