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Math Help - Logarithim log(2x-3)+log(x-4)=1

  1. #1
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    Logarithim log(2x-3)+log(x-4)=1

    I need help solving for x.
    log(2x-3)+log(x-4)=1
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  2. #2
    Junior Member slider142's Avatar
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    Use the fact that the logarithm of a product is the same as the sum of the logarithms: log(ab) = log(a) + log(b).
    This comes from the fact that c^d c^f = c^{d + f}.
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  3. #3
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    log(2x-3)+log(x-4)=1
    log ((2x-3)(x-4))=1
    10=(2x-3)(x-4)
    0=2x^2 -11x +2, quadratic formula.
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