Use the formula R $\mathrm { R } = \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right)$ , where the magnitude of an earthquake on the Richter scale is based on I, the measurement of a seismic wave, and I0, the measurement of a seismic wave of a level zero earthquake with the
Same epicenter. An earthquake was recorded which was 2,511,886 times more powerful than a reference level
Zero earthquake. What is the magnitude of this earthquake? (Round to the nearest tenth.)
A) 0.6
B) 5.4
C) 6.4
D) 14.7

Question

Quizplus · Accepted Answer

The magnitude of the earthquake on the Richter scale can be calculated using the given formula: $R = \log \left( \frac { I } { I_0 } \right)$. Given that $I = 2,511,886$ times $I_0$, we substitute this value into the formula to get $R = \log(2,511,886)$. Calculating this gives a value of approximately 6.4, which rounds to 6.4 on the Richter scale.

Use the Formula R R=log⁡(II0)\mathrm { R } = \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right)R=log(I0​I​)

Use the Formula R $\mathrm { R } = \log \left( \frac { \mathrm { I } } { \mathrm { I } _ { 0 } } \right)$