SOLUTION: 3^2x+1+26(3^x)-9=0

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Question 1004836: 3^2x+1+26(3^x)-9=0
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%282x%2B1%29%2B26%2A%283%5Ex%29-9=0
3%2A3%5E%282x%29%2B26%2A%283%5Ex%29-9=0
Let u=3%5Ex, then u%5E2=3%5E%282x%29
So,
3u%5E2%2B26u-9=0
%28u%2B9%29%283u-1%29=0
Two "u" solutions:
u%2B9=0
u=-9
3%5Ex=-9
No x solution available.
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3u-1=0
3u=1
u=1%2F3
3%5Ex=3%5E%28-1%29
highlight_green%28x=-1%29