SOLUTION: 3^2x+3^x-2=0

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Question 353796: 3^2x+3^x-2=0
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The equation is actually a quadratic equation in 3%5Ex. It is factorable.
3%5E%282x%29%2B3%5Ex-2=0,
%283%5Ex%2B2%29%2A%283%5Ex-1%29=0,
This means 3%5Ex+%2B+2=0, or 3%5Ex+-+1=0. The first equation has no solution, because 3%5Ex+%2B+2%3E0, while the second gives
3%5Ex+=+1. Only x=0 will satisfy this equation.