SOLUTION: how to solve log4(x)=2-log4(x-6)

Question 464366: how to solve log4(x)=2-log4(x-6)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve log4(x)=2-log4(x-6)
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log4(x) + log4(x-6) = 2
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log4[x(x-6)] = 2
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x^2-6x = 4^2
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x^2-6x-16 = 0
Factor:
(x-8)(x+2) = 0
x = 8 or x = -2
====================
Checking:
Only x = 8 is an acceptable solution as log4(-2) does not exist.
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Cheers,
Stan H.
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