Solving for x in equation (e^2x)-(3e^x)+2=0

[theRukus]

Homework Statement

Solve for x.
e^2x-3e^x+2=0

The Attempt at a Solution

e^2x-3e^x+2=0
-e^2x+3e^x=2
e^x(3-e^x)=2
lne^x(3-e^x)=ln2
x(3-e^x)=ln2

..not very sure where to go here. Any direction would be appreciated! Thanks

 

[eumyang]

I wouldn't do what you wrote above. Start with this: let w = e^x. Then rewrite the equation in terms of w. Does the equation look familiar now?