SOLUTION: Solve for x: 6e^(2x)-5e^x= 6

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Question 846092: Solve for x: 6e^(2x)-5e^x= 6
Answer by lwsshak3(11628) About Me  (Show Source):
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Solve for x: 6e^(2x)-5e^x= 6
let u=e^x
u^2=e^2x
..
6u^2-5u-6=0
(2u-3)(3u+2)=0
3u+2=0
u=-2/3=e^x (reject, e^x>0)
or
2u-3=0
u=3/2=e^x
xlne=ln(3/2)
x≈0.4054