What is ln((x^2-6x-27)/(x-7)) ?

The solution to ln((x^2-6x-27)/(x-7)) is ln(x^2-6x-27)-ln(x-7)

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simplify ln((x^2-6x-27)/(x-7))

simplify

ln (\frac{x ^{2} - 6 x - 27}{x - 7})

ln (x^{2} - 6 x - 27) - ln (x - 7)

Solution steps

ln (\frac{x ^{2} - 6 x - 27}{x - 7})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x ^{2} - 6 x - 27}{x - 7}) = ln (x^{2} - 6 x - 27) - ln (x - 7)

= ln (x^{2} - 6 x - 27) - ln (x - 7)

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What is ln((x^2-6x-27)/(x-7)) ?
The solution to ln((x^2-6x-27)/(x-7)) is ln(x^2-6x-27)-ln(x-7)