SOLUTION: what is the solution set for log of 5(x-7)+log of 5 (x-4)-log of 5x=1

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Question 1010668: what is the solution set for log of 5(x-7)+log of 5 (x-4)-log of 5x=1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the solution set for
log5(x-7)+log5(x-4)-log5(x) = 1
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log5[(x-7)(x-4)/x] = 1
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(x-7)(x-4)/x = 5
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x^2 - 11x + 28 = 5x
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x^2 - 16x + 28 = 0
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(x-2)(x-14) = 0
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Acceptable solution:
x = 14
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Cheers,
Stan H.
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