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) $I = 10 ^ { \mathrm { M } }$
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) $I = 10 ^ { \mathrm { M } }$
B) $I = e ^ { M }$
C) $I = \log M$
D) $I = \ln M$

Quizplus · Accepted Answer

The given relationship is M = log I. Solving for I, we get I = 10^M. Therefore, option A is the correct choice. Option B is not correct as the exponential function with base e is written as e^x and not e^M. Option C and D are not correct as logarithmic functions are used to calculate the magnitude M and not the relative intensity I.

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

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