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# Solve for x. e^(2x)=(e^(x^2))/(e^2)?

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- Mike GLv 79 years agoFavorite Answer
e^(2x)=(e^(x^2))/(e^2)

e^(2x+2) = e^x^2

x^2=2x+2

x^2-2x=2

x^2-2x+1 = 3

(x-1)^2 = 3

x = 1 ± sqrt(3)

- MechEng2030Lv 79 years ago
e^(2x) = (e^(x^2))/(e^2) => e^(2x) = e^(x^2 - 2)

2x = x^2 - 2

x^2 - 2x - 2 = 0

(x - 1)^2 - 3 = 0

x = +/-√3 + 1

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