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

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

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

simplify

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 (3) - ln (6)

lo g_{4} (\frac{256}{y})

lo g_{10} (3) - 3 lo g_{10} (x)

\frac{1}{4} lo g_{c} (x) + 5 lo g_{c} (y) - 3 lo g_{c} (x)

lo g_{10} (\frac{x ^{2} y ^{3}}{z})

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