What is expand ln(xsqrt(x^2+y^2)) ?

The solution to expand ln(xsqrt(x^2+y^2)) is ln(x)+ln(sqrt(x^2+y^2))

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expand ln(xsqrt(x^2+y^2))

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{4} (3) + lo g_{4} (7)

lo g_{b} (\frac{x}{y})

\frac{1}{3} lo g_{10} (3 x) + \frac{2}{3} lo g_{10} (3 x)

4 ln (x) + 7 ln (y) - 3 ln (z)

lo g_{10} (\frac{11 x ^{3} y}{z + 1})

What is expand ln(xsqrt(x^2+y^2)) ?
The solution to expand ln(xsqrt(x^2+y^2)) is ln(x)+ln(sqrt(x^2+y^2))