SOLUTION: Provided: e^(4x) + 4e^(2x) − 12 = 0 Use the substitution t = e^(2x) t^2 =

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Question 914785: Provided: e^(4x) + 4e^(2x) − 12 = 0
Use the substitution t = e^(2x)
t^2 =

Answer by lwsshak3(11628) About Me  (Show Source):
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Provided: e^(4x) + 4e^(2x) − 12 = 0
Use the substitution t = e^(2x)
solve for x
t^2=e^4x
t^2+4t-12=0
(t+6)(t-2)=0
t=2=e^(2x)
2xlne=ln2
2x=ln2
x=ln2/2≈0.36