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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (8) - ln (x) - 4 ln (5) + 2 ln (y)

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ln (x^{3}) - 5 ln (x)

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