Solve the problem.
-The Richter Scale measures the magnitude M of an earthquake. An earthquake whose seismographic reading measures x millimeters 100 kilometers from the epicenter has magnitude M given byven by $M ( x ) = \log \left( \frac { x } { 10 ^ { - 3 } } \right)$ . Give Giv
The magnitude of an earthquake that resulted in a seismographic reading of 68,549 millimeters 100 kilometers
From its epicenter. Round to the nearest tenth.
A)1.8
B)6.8
C)8.8
D)7.8

Question

Quizplus · Accepted Answer

The magnitude of an earthquake is given by $M ( x ) = \log \left( \frac { x } { 10 ^ { - 3 } } \right)$, where x is the seismographic reading in millimeters. Substituting x = 68,549 into the equation, we get $M ( 68,549 ) = \log \left( \frac { 68,549 } { 10 ^ { - 3 } } \right) = \log ( 68,549,000 ) \approx 7.8$.

Solve the Problem M(x)=log⁡(x10−3)M ( x ) = \log \left( \frac { x } { 10 ^ { - 3 } } \right)M(x)=log(10−3x​)

Solve the Problem $M ( x ) = \log \left( \frac { x } { 10 ^ { - 3 } } \right)$