You can put this solution on YOUR website! Solve
log₆x = 1 - log₆(x-5)
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log6(x) = 1 - log6(x-5)
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log6(x)+log6(x-5) = 1
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log6[x(x-5)] = 1
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log6[x^2-5x] = 1
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x^2 - 5x = 6
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x^2 - 5x - 6 = 0
Factor:
(x-2)(x-3) = 0
x = 2 or x = 3
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Notice: If x = 2 or x = 3, x-5 in the original problem would be negative.
There is no log of a negative number
Answer to your problem:: No solution.
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Cheers,
Stan H.
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