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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

4 ln (8) - 4 ln (4)

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

ln (\frac{s}{s - 1})

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

- lo g_{10} (8.7 \cdot 1 0^{- 6})

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