SOLUTION: e^(2x)-3e^x+2=0

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Question 256929: e^(2x)-3e^x+2=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let y=e%5E%28x%29, then y%5E2=e%5E%282x%29,
e%5E%282x%29-3e%5Ex%2B2=y%5E2-3y%2B2
e%5E%282x%29-3e%5Ex%2B2=%28y-1%29%28y-2%29
Two solutions:
y-1=0
y=1
e%5E%28x%29=1
x=0
.
.
.
y-2=0
y=2
e%5E%28x%29=2
x=ln%282%29