Solve the Problem $$M ( x ) = \log \left( \frac { x } { x _ { 0 } } \right) \text {, where } x _ { 0 } = 10 ^ { - 3 }$$

question 101

Multiple Choice

Solve the problem.
-The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function $$M ( x ) = \log \left( \frac { x } { x _ { 0 } } \right) \text {, where } x _ { 0 } = 10 ^ { - 3 }$$ What would be the readings x (to the nearest tenth) for magnitudes of 4.5 and 7.5?

• A) 653.2 and 875.1
• B) 2.7 and 2.9
• C) 2 and 2.6
• D) 3.7 and 3.9

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