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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

\frac{1}{2} (lo g_{3} (a) + lo g_{3} (b))

lo g_{5} (\frac{5 a}{b c})

lo g_{a} (\frac{3 x}{8 n})

ln (\frac{9}{4 x ^{4} y})

ln (5) + ln (7) + 2 ln (6)

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