What is expand ln(sqrt(x^2\sqrt{(x-2)/(x+3))}) ?

The solution to expand ln(sqrt(x^2\sqrt{(x-2)/(x+3))}) is ln(x)+1/4 ln((x-2)/(x+3))

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expand ln(sqrt(x^2\sqrt{(x-2)/(x+3))})

expand

ln x^{2} \frac{x - 2}{x + 3}

ln (x) + \frac{1}{4} ln (\frac{x - 2}{x + 3})

Solution steps

ln x^{2} \frac{x - 2}{x + 3}

Apply log rule:

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

Simplify

= ln (x) + \frac{1}{4} ln (\frac{x - 2}{x + 3})

(8 + 2 x)^{\frac{- 1}{3}}

\frac{2}{( s + 5 ) ^{2} ( s )}

- \frac{5 ( 3 x - 5 )}{2 x + 3}

\frac{5 x ^{6} ( - 6 x tan ( 6 x ) + 7 )}{7 sec ( 6 x )}

3 (x (b f - ce) - y (a f - c d) + z (a e - b d))

What is expand ln(sqrt(x^2\sqrt{(x-2)/(x+3))}) ?
The solution to expand ln(sqrt(x^2\sqrt{(x-2)/(x+3))}) is ln(x)+1/4 ln((x-2)/(x+3))