What is ln((x+4)/(x^2-5x+6)) ?

The solution to ln((x+4)/(x^2-5x+6)) is ln(x+4)-ln(x^2-5x+6)

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simplify ln((x+4)/(x^2-5x+6))

simplify

ln (\frac{x + 4}{x ^{2} - 5 x + 6})

ln (x + 4) - ln (x^{2} - 5 x + 6)

Solution steps

ln (\frac{x + 4}{x ^{2} - 5 x + 6})

Apply log rule:

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

ln (\frac{x + 4}{x ^{2} - 5 x + 6}) = ln (x + 4) - ln (x^{2} - 5 x + 6)

= ln (x + 4) - ln (x^{2} - 5 x + 6)

ln (\frac{1}{y})

ln (x + y) + ln (x - y) - 2 ln (a)

ln ((e^{z} x^{2} y)^{3})

(ln (3 e))^{2} - 3 ln (3 e)

ln (9) + 4 ln (4)

What is ln((x+4)/(x^2-5x+6)) ?
The solution to ln((x+4)/(x^2-5x+6)) is ln(x+4)-ln(x^2-5x+6)