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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (c x) = ln (c) + ln (x)

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

\frac{81 ln ^{4} ( 2 )}{4} - 4 ln^{4} (2)

4 lo g_{10} (m) + lo g_{10} (n)

- \frac{1}{3} ln (z) + \frac{2}{5} ln (y) - ln (x) + ln (2)

\frac{1}{2} lo g_{b} (x) - 2 lo g_{b} (y) + lo g_{b} (z)

ln (\frac{- 28}{242})

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