SOLUTION: what is the solution set for log5(x-7)+log5(x-4)-log5x=1

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Question 1010571: what is the solution set for log5(x-7)+log5(x-4)-log5x=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)-log5x=1
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log5[(x-7)*(x-4)/(x)] = 1
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x(x-7)(x-4) = 5
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x(x^2-11x+28) = 5
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x^3 - 11x^2 + 28x - 5 = 0
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graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E3-11x%5E2%2B28x-5%29
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x = 0.1929 or x = 3.5916 or x = 7.2155
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Cheers,
Stan H.