What is ln(((2x^2+1))/(x^2+2)) ?

The solution to ln(((2x^2+1))/(x^2+2)) is ln(2x^2+1)-ln(x^2+2)

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simplify ln(((2x^2+1))/(x^2+2))

simplify

ln (\frac{( 2 x ^{2} + 1 )}{x ^{2} + 2})

ln (2 x^{2} + 1) - ln (x^{2} + 2)

Solution steps

ln (\frac{( 2 x ^{2} + 1 )}{x ^{2} + 2})

Apply log rule:

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

ln (\frac{( 2 x ^{2} + 1 )}{x ^{2} + 2}) = ln ((2 x^{2} + 1)) - ln (x^{2} + 2)

= ln (2 x^{2} + 1) - ln (x^{2} + 2)

ln (\frac{u}{2 R})

2 ln (\frac{p}{q}) + \frac{1}{2} ln (q^{2}) - ln (p^{3})

ln (\frac{x}{e ( x + 3 ) ^{2}})

15 + 50 \cdot ln (\frac{4}{4 - 0.4 \cdot 4})

ln (\frac{9}{5}) - 3

What is ln(((2x^2+1))/(x^2+2)) ?
The solution to ln(((2x^2+1))/(x^2+2)) is ln(2x^2+1)-ln(x^2+2)