What is expand ln(sqrt(x^3y^2)) ?

The solution to expand ln(sqrt(x^3y^2)) is ln(xy)+1/2 ln(x)

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expand ln(sqrt(x^3y^2))

expand

ln (x^{3} y^{2})

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

Solution steps

ln (x^{3} y^{2})

x^{3} y^{2} = x y x

= ln (x y x)

Apply log rule:

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

ln (x x y) = ln (x y) + ln (x)

= ln (x y) + ln (x)

Simplify

ln (x) : \frac{1}{2} ln (x)

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

(e^{s} - 1 - e^{- s}) \cdot (e^{2 s} - e^{s} - 1)

(sin (a) - 1) (sin (a) + 1)

a (2, - 1, 1) + b (1, - 6, 2)

\frac{( x - 1 ) ( x + 1 )}{x}

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

What is expand ln(sqrt(x^3y^2)) ?
The solution to expand ln(sqrt(x^3y^2)) is ln(xy)+1/2 ln(x)