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The Richter scale is used to measure the magnitude of an earthquake. The magnitude, R, is given by the earthquake. Determine the amount of energy released be an earthquake of magnitude of 7.5.
It says simplify so it is written in the form b = log a.

Respuesta :

A)[tex]R=0.65log(0.39E)+1.45 7.5=0.65log(0.39E)+1.45[/tex]

B)[tex]6.05=0.65log(0.39E) Subtracted 1.45 from~ both~ sides~ of~ equation. 9.31=log(0.39E) Divided each side by 0.65. [/tex]

C) [tex]9.31=log(0.39E) 10^(9.31)=0.39E E=5.24*10^9 kilowatt hours[/tex]

Amount of energy released during Earthquake is [tex]5.23*10^{6} kilowatt[/tex]

The Richter scale is used to measure the magnitude of a earthquake. The magnitude R is,  

    [tex]R=0.65log(0.39E)+1.45[/tex]         E is the energy (measured in kilowatt-hours) released by the earthquake.

Given that,  R = 7.5

Substituting the value of R into above equation.

            [tex]7.5=0.65log(0.39E)+1.45\\\\7.5-1.45=0.65log(0.39E)\\\\6.05=0.65log(0.39E)\\\\9.31=log(0.39E)\\\\0.39E=10^{9.31}\\\\E=\frac{10^{9.31} }{0.39} \\\\E=5235225499watt\\\\E=5.23*10^{6} kilowatt[/tex]

Thus, Amount of energy released is [tex]5.23*10^{6} kilowatt[/tex]

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