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how would I go about solving 8.5=2/3log(e/10^11.8) I don't understand where to start

 Apr 23, 2020
 #1
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(e/10^11.8)       is this part written correctly?       is it supposed to be   e-10^11.8       or  what?

 Apr 23, 2020
 #2
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This is  one of the formulas used to calculate the amount of energy released by an 8.5 magnitude Eartquake.
Solve for E: (which stands for "Energy")
8.5 = 2/3 log(1.58489×10^-12 E)
8.5 = 2/3 log(1.58489×10^-12 E) is equivalent to 2/3 log(1.58489×10^-12 E) = 8.5:
2/3 log(1.58489×10^-12 E) = 8.5
Multiply both sides by 3/2:
log(1.58489×10^-12 E) = 12.75
Cancel logarithms by taking exp of both sides:
1.58489×10^-12 E = 344552.
Divide both sides by 1.58489×10^-12:
E = 217397549422736960 =2.17 x 10^17 Joules of energy release by 8.5 M earthquake.

 Apr 23, 2020

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