SOLUTION: Solve 3^x+2=9^x

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Question 692278: Solve 3^x+2=9^x
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
3^x+2=9^x
3^x+2 = 3^(2x)
3%5E%282x%29+-+3%5Ex+-+2+=+0
Sub y for 3^x
y%5E2+-+y+-+2+=+0
(y-2)*(y+1) = 0
y = 2
3^x = 2
x*log(3) = log(2)
x = log(2)/log(3)
x =~ 0.63093
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Ignore the 3^x = -1 answer