What is expand ln(ysqrt(y/(2-y))) ?

The solution to expand ln(ysqrt(y/(2-y))) is ln(y)+ln(sqrt(y/(2-y)))

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expand ln(ysqrt(y/(2-y)))

expand

ln (y \frac{y}{2 - y})

ln (y) + ln (\frac{y}{2 - y})

Solution steps

ln (y \frac{y}{2 - y})

Apply log rule:

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

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

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

ln (16 x)

- (\frac{3}{7} lo g_{2} (\frac{3}{7}) + \frac{4}{7} lo g_{2} (\frac{4}{7}))

2 ln (7 x)

ln (\frac{e ^{8}}{2})

2 - ln (7 x)

What is expand ln(ysqrt(y/(2-y))) ?
The solution to expand ln(ysqrt(y/(2-y))) is ln(y)+ln(sqrt(y/(2-y)))