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snow_tiger
3 months ago
14

By what factor does the intensity increase for each whole number increase in the Richter scale? Use your understanding of logari

thms and the inverse relationship between logarithms and exponents to explain your answer.
Mathematics
2 answers:
Zina [12.3K]3 months ago
8 0

Answer:

The intensity rises by a factor of 10 because the Richter scale operates on a logarithmic base of 10. For instance, an earthquake with a magnitude of 2 is ten times more intense than a baseline earthquake, while a magnitude of 3 is 1000 times more intense than the standard. This can be expressed as 10^3 = 10^2 • 10.

Step-by-step explanation:

I recently just went through this on e2020:)

Inessa [12.5K]3 months ago
5 0

Answer:

Due to the logarithmic nature of the scale, an increase of one whole number in magnitude signifies a tenfold rise in amplitude; when considering energy, this increment in whole numbers equates to an energy release increase of about 31.6 times. Furthermore, a 0.2 increase corresponds to roughly twice the energy released.

Step-by-step explanation:

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