SOLUTION: how would you solve the following problem: e^2x -7e^x + 12 = 0

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Question 1088302: how would you solve the following problem:
e^2x -7e^x + 12 = 0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use a substitution.
It's a quadratic equation in disguise.
u=e%5Ex
u%5E2=%28e%5Ex%29%5E2=e%5E%282x%29
.
.
u%5E2-7u%2B12=0
%28u-3%29%28u-4%29=0
Solve like you would a quadratic equation,
then back substitute to find the solution in x.