SOLUTION: Solve for x: ((e^2).(e^x)^2)/ (e^3x) = 2^x-1

Question 1079261: Solve for x: ((e^2).(e^x)^2)/ (e^3x) = 2^x-1

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve for x: ((e^2).(e^x)^2)/ (e^3x) = 2^x-1
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((e^2)*(e^x)^2)/ (e^3x) = 2^(x-1)
(e^2)*(e^2x)/(e^3x) = 2^(x-1)
(e^2x+2)/(e^3x) = 2^(x-1)
e^(-x+2) = 2^(x-1)
-x+2 = (x-1)*ln(2) = x*ln(2) - ln(2)
x*ln(2) - x = ln(2)
x*(ln(2)-1) = ln(2)

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