SOLUTION: Use logs ( any base) to find the unknown: 3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Use logs ( any base) to find the unknown: 3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)      Log On


   

Question 133316: Use logs ( any base) to find the unknown:
3 to the power of x^2 minus 2x = 3 to the power of x-2 ( there are two answers please find both)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3 to the power of x^2 minus 2x = 3 to the power of x-2
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3^(x^2-2x) = 3^(x-2)
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Take the log(base3) of both sides to get:
x^2-2x = x-2
x^2-3x+2 = 0
(x-2)(x-1) = 0
x = 2 or x=1
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Cheers,
Stan H.