SOLUTION: Solve: e^2x − 7e^x + 12 = 0. Hint: This is an equation of quadratic form.

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Question 915105: Solve: e^2x − 7e^x + 12 = 0. Hint: This is an equation of quadratic form.
Answer by tonyclarke(17) About Me  (Show Source):
You can put this solution on YOUR website!
Let e^x = a, and re-write.
aČ - 7a + 12 = 0 -- We have a factorable quadratic
(a - 3)(a - 4) = 0
a = 3 or 4
e^x = 3 or 4
x = ln(3) or ln(4)