Solve the problem.
-Use the formula $\mathrm { R } = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }$ to find the intensity $\mathrm { R }$ on the Richter scale, given that amplitude a is 207 micrometers, time $\mathrm { T }$ between waves is $3.5$ seconds, and $\mathrm { B }$ is 2.7. Round answer to one decimal place.
A) $4.5$
B) $6.8$
C) $1.8$
D) 7

Question

Quizplus · Accepted Answer

Plugging the given values into the formula $R = \log \left( \frac { a } { T } \right) + B$, we get $R = \log \left( \frac { 207 } { 3.5 } \right) + 2.7$. Calculating inside the logarithm first, $207 / 3.5 = 59.142857$. Taking the log of that gives approximately $1.772$, and adding $2.7$ gives $4.472$, which rounds to $4.5$.

Solve the Problem R=log⁡(aT)+B\mathrm { R } = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }R=log(Ta​)+B

Solve the Problem $\mathrm { R } = \log \left( \frac { \mathrm { a } } { \mathrm { T } } \right) + \mathrm { B }$