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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

ln (\frac{tan ^{5} ( x )}{e ^{6 x^{4}} x ^{6}})

2 lo g_{10} (x) - lo g_{10} (x + 2)

- ln 900 - x^{2} + 2 ln (30)

ln (\frac{121}{13})

8.64 + lo g_{10} (\frac{0.89}{0.25})

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