SOLUTION: e^2x - 4e^x + 3 = 0; upon recognizing that e^2x = (e^x)^2, and thus the above equation is a quadratic in terms of e^x. Solve the equation

Algebra ->  Rational-functions -> SOLUTION: e^2x - 4e^x + 3 = 0; upon recognizing that e^2x = (e^x)^2, and thus the above equation is a quadratic in terms of e^x. Solve the equation       Log On


   

Question 368261: e^2x - 4e^x + 3 = 0; upon recognizing that e^2x = (e^x)^2, and thus the above equation is a quadratic in terms of e^x. Solve the equation

Found 2 solutions by robertb, solver91311:
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
%28e%5Ex-1%29%28e%5Ex-3%29+=+0,
e%5Ex+=+1, or e%5Ex+=+3.
x = 0 or x = ln3.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Factor it.



Hence:



or



From there use:



and

is the same thing as

John

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