The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log I .$ Express the relative intensity as a function of the magnitude.
A) $I = 10 ^ { M }$
B) $I = e ^ { M }$
C) $I = \log M$
D) $I = \ln M$

Question

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log I .$ Express the relative intensity as a function of the magnitude. 
A) $I = 10 ^ {  M }$
B) $I = e ^ { M }$
C) $I = \log M$
D) $I = \ln M$

Quizplus · Accepted Answer

To express the relative intensity as a function of the magnitude, we need to isolate I in terms of M in the given equation. Taking the antilogarithm of both sides of the equation gives us:
$$I = 10^M$$
Therefore, the correct choice is A.

The Magnitude M of an Earthquake Depends on the Relative M=log⁡I.M = \log I .M=logI.

The Magnitude M of an Earthquake Depends on the Relative $M = \log I .$