What is ln(ysqrt(y/(4-y))) ?

The solution to ln(ysqrt(y/(4-y))) is ln(y)+ln(sqrt(y/(4-y)))

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simplify ln(ysqrt(y/(4-y)))

simplify

ln (y \frac{y}{4 - y})

ln (y) + ln (\frac{y}{4 - y})

Solution steps

ln (y \frac{y}{4 - y})

Apply log rule:

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

ln (y \frac{y}{4 - y}) = ln (y) + ln (\frac{y}{4 - y})

= ln (y) + ln (\frac{y}{- y + 4})

lo g_{9} (x + 3) + lo g_{9} (x - 5)

\frac{1}{2} ln (- 1)

lo g_{2} (5 x)

4 lo g_{10} (x) - \frac{1}{3} lo g_{10} (y)

lo g_{6} (x y)

What is ln(ysqrt(y/(4-y))) ?
The solution to ln(ysqrt(y/(4-y))) is ln(y)+ln(sqrt(y/(4-y)))