What is ln((x^2+2x-8)/(x-3)) ?

The solution to ln((x^2+2x-8)/(x-3)) is ln(x^2+2x-8)-ln(x-3)

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simplify ln((x^2+2x-8)/(x-3))

simplify

ln (\frac{x ^{2} + 2 x - 8}{x - 3})

ln (x^{2} + 2 x - 8) - ln (x - 3)

Solution steps

ln (\frac{x ^{2} + 2 x - 8}{x - 3})

Apply log rule:

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

ln (\frac{x ^{2} + 2 x - 8}{x - 3}) = ln (x^{2} + 2 x - 8) - ln (x - 3)

= ln (x^{2} + 2 x - 8) - ln (x - 3)

ln (x) - ln (v)

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

lo g_{10} (x^{3} y^{4} z)

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

ln (\frac{1.5}{1.2})

What is ln((x^2+2x-8)/(x-3)) ?
The solution to ln((x^2+2x-8)/(x-3)) is ln(x^2+2x-8)-ln(x-3)