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

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Question 92376: e^(2x)-e^x=2, Solve for x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
e^(2x)-e^x-2=0, Solve for x
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It's a quadratic; factor it:
(e^x-2)(e^x+1)=0
e^x = 2 or e^x=-1
Take the natural log to get:
x = ln2 or x=ln(-1)
x = ln2 is the only solution as x=ln(-1) does not exist.
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Cheers,
Stan H.