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

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

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

simplify

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

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

Solution steps

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

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

\frac{\frac{3}{4} ln b ^{3} + 1 - ln ∣ 3 b + 1 ∣}{3}

ln (\frac{27 - 10}{9.9 - 100})

3.41 + lo g_{10} (\frac{0.00225}{2.25 \cdot 1 0 ^{- 1}})

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

ln (5) - ln (11)

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