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Help me please with this question-example-1

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Answer:

5.0

Explanation:

If we call the intensity of the larger quake I2, and that of the smaller quake I1, then we want to find I2/I1.

The log of that ratio is given by ...

log(I2/I1) = log(I2) -log(I1)

= R2 -R1

= 8.2 -7.5

log(I2/I1) = 0.7

Taking antilogs, we have ...

I2/I1 = 10^0.7

I2/I1 = 5.0

The stronger quake is 5.0 times as intense as the lesser one.

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