What is ln((x^2-9)/(x^3+27)) ?

The solution to ln((x^2-9)/(x^3+27)) is ln(x^2-9)-ln(x^3+27)

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simplify ln((x^2-9)/(x^3+27))

simplify

ln (\frac{x ^{2} - 9}{x ^{3} + 27})

ln (x^{2} - 9) - ln (x^{3} + 27)

Solution steps

ln (\frac{x ^{2} - 9}{x ^{3} + 27})

Apply log rule:

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

ln (\frac{x ^{2} - 9}{x ^{3} + 27}) = ln (x^{2} - 9) - ln (x^{3} + 27)

= ln (x^{2} - 9) - ln (x^{3} + 27)

lo g_{10} (a ln (x))

- ln (x^{2}) - ln (sin (y))

ln (y) + ln (x + 1) - ln (k)

ln (3 x) + 1

2 ln (x - 1) - 2 ln (x + 1)

What is ln((x^2-9)/(x^3+27)) ?
The solution to ln((x^2-9)/(x^3+27)) is ln(x^2-9)-ln(x^3+27)