What is ln((x^2+5x+6)/(x+3)) ?

The solution to ln((x^2+5x+6)/(x+3)) is ln(x^2+5x+6)-ln(x+3)

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simplify ln((x^2+5x+6)/(x+3))

simplify

ln (\frac{x ^{2} + 5 x + 6}{x + 3})

ln (x^{2} + 5 x + 6) - ln (x + 3)

Solution steps

ln (\frac{x ^{2} + 5 x + 6}{x + 3})

Apply log rule:

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

ln (\frac{x ^{2} + 5 x + 6}{x + 3}) = ln (x^{2} + 5 x + 6) - ln (x + 3)

= ln (x^{2} + 5 x + 6) - ln (x + 3)

ln (48) - ln (15) - ln (7) + ln (4)

ln (\frac{1.36}{12})

ln (2 (e^{x} + 1)^{2}) + ln (c)

ln (6 (1 - e^{- 5}))

+ \frac{1}{3} ln (3312)

What is ln((x^2+5x+6)/(x+3)) ?
The solution to ln((x^2+5x+6)/(x+3)) is ln(x^2+5x+6)-ln(x+3)