SOLUTION: (e^2x)-9(e^x)+14=0

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Question 372613: (e^2x)-9(e^x)+14=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution,
u=e%5Ex
u%5E2=e%5E%282x%29
u%5E2-9u%2B14=0
%28u-2%29%28u-7%29=0
Two solutions:
u-2=0
u=2
e%5Ex=2
highlight%28x=ln%282%29%29
.
.
.
u-7=0
u=7
highlight%28x=ln%287%29%29