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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{13.1}{9.9})

ln (5) + 3 ln (x) - 2 ln (y)

- 2 ln (\frac{2}{3})

ln (\frac{10}{11})

lo g_{10} (\frac{y ^{5} x ^{2}}{z ^{5}})

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