Answer:
If R is equal 5.1, Let x be A/A0
Then we have logx=5.1
Solving this we have x=125893
An earthquake near the Philippines measured 5.1 on the Richter scale. Using the formula [tex]R =log( \frac{A}{A_{0}} )[/tex], we determine that the wave amplitude A of the earthquake was 164 times stronger than A₀
The Richter magnitude of an earthquake is determined from the logarithm of the amplitude of waves recorded by seismographs.
[tex]R =log( \frac{A}{A_{0}} )[/tex]
[tex]5.1 =log( \frac{A}{A_{0}} )[/tex]
[tex]e^{5.1} = \frac{A}{A_{0}} \\\\164.022 = \frac{A}{A_{0}}\\\\A = 164 A_{0}[/tex]
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