Solving a 5.4 Earthquake Aftershock: Round to 1 Decimal Place

[JasSingh96]

Can someone please solve this . I have been trying to solve this from last 2 days.
1. Question

1. An earthquake with a magnitude of 5.4 is 39 times as intense as an aftershock that occurs five hours later. What is the magnitude of the aftershock? Round your answer to one decimal place.

2. Formula Given in Text Book.
M=log(I/I0)

• M is the magnitude
• I is the intensity of the earthquake
• I0 is the intensity of an earthquake with a magnitude of 0

Thanks

 

[Dr. Courtney]

Use the magnitude to compute the I of the original quake.

Divide that I by 39 to find the intensity of the aftershock.

Compute the mahnitude of the aftershock.

 

[tommyxu3]

If the intensity are $I_1,~I_2,$ then their magnitudes' difference can be done with $M_1-M_2=\ln\frac{I_1}{I_0}-\ln\frac{I_2}{I_0}$ right? With the information you got, try to have some attempts on it .