How intense is an earthquake of magnitude 5 compared to magnitude 3?

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An earthquake of magnitude 5 is significantly more intense than one of magnitude 3, with ground movement intensity increasing by a factor of 100. This is derived from the logarithmic scale where each whole number increase in magnitude represents a tenfold increase in amplitude and approximately 31.6 times more energy release. Participants in the discussion emphasize the importance of attempting calculations rather than relying on others for answers. Misunderstandings about the formulas and their applications are noted, highlighting the need for careful reading of the question. Overall, the conversation underscores the mathematical relationship between earthquake magnitudes and their intensities.
grant369
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How many times more intense is the ground movement of an earthquake of magnitude 5 as compared with a magnitude of 3? Using M = log A.

Ted
 
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M2= 5*m1 => A2 =10^5*a1
 
huyen vyvy should not have answered this question since grant369 did not even attempt to do it himself. Fortunately, the answer huyen vyvy gives is wrong!

grant369, at least TRY! As huyen vyvy did, call the the intensity of the first earhquake A1. Your formula says log A1= 5. What is A1? Call the intensity of the second earthquake A2. You formula says log A2= 3. What is A2? A1 is how many times larger than A2?
 
oops my bad, i didn't read the question carefully enough.
 

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