What is ln(ysqrt(y/(1-y))) ?

The solution to ln(ysqrt(y/(1-y))) is ln(y)+ln(sqrt(y/(1-y)))

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simplify ln(ysqrt(y/(1-y)))

simplify

ln (y \frac{y}{1 - y})

ln (y) + ln (\frac{y}{1 - y})

Solution steps

ln (y \frac{y}{1 - y})

Apply log rule:

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

ln (y \frac{y}{1 - y}) = ln (y) + ln (\frac{y}{1 - y})

= ln (y) + ln (\frac{y}{- y + 1})

lo g_{10} (\frac{x}{10000})

ln (\frac{1}{12 1 ^{k}})

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

lo g_{10} (\frac{x}{y ^{5}})

lo g_{4} (x^{2} - 64) - 4 lo g_{4} (x + 8)

What is ln(ysqrt(y/(1-y))) ?
The solution to ln(ysqrt(y/(1-y))) is ln(y)+ln(sqrt(y/(1-y)))