What is ln((n^2+2)/(3n^2+5)) ?

The solution to ln((n^2+2)/(3n^2+5)) is ln(n^2+2)-ln(3n^2+5)

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simplify ln((n^2+2)/(3n^2+5))

simplify

ln (\frac{n ^{2} + 2}{3 n ^{2} + 5})

ln (n^{2} + 2) - ln (3 n^{2} + 5)

Solution steps

ln (\frac{n ^{2} + 2}{3 n ^{2} + 5})

Apply log rule:

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

ln (\frac{n ^{2} + 2}{3 n ^{2} + 5}) = ln (n^{2} + 2) - ln (3 n^{2} + 5)

= ln (n^{2} + 2) - ln (3 n^{2} + 5)

25.12 ln (\frac{253.67}{365}) + (8.314 \cdot ln (3))

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

ln (\frac{6.94 \cdot 1 0 ^{- 6}}{804.11})

- 2 ln (2) + 2 ln (3)

lo g_{10} (C \cdot x^{a} \cdot y^{b})

What is ln((n^2+2)/(3n^2+5)) ?
The solution to ln((n^2+2)/(3n^2+5)) is ln(n^2+2)-ln(3n^2+5)