SOLUTION: I need help solving this equation. Thank you. (1/9)^x+2 = 27^x-2

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Question 887442: I need help solving this equation. Thank you.
(1/9)^x+2 = 27^x-2

Found 2 solutions by Alan3354, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(1/9)^x+2 = 27^x-2
----------
Use logs base 3

(x+2)*-2 = (x-2)*3
-2x-4 = 3x-6
2 = 5x
x = 2/5

Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

I need help solving this equation. Thank you.
(1/9)^x+2 = 27^x-2


------ Converting to similar base

- 2(x + 2) = 3(x - 2) ------ Bases are equal, and so are their exponents
- 2x - 4 = 3x - 6
- 2x - 3x = - 6 + 4
- 5x = - 2

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