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

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

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

expand

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_{5} (7) + lo g_{5} (x) - 3 lo g_{4} (y)

ln (x^{3}) - ln (x^{6}) + ln (x^{4})

lo g_{10} (y z^{3})

\frac{ln ( 6 ) + ln ( 2 )}{lo g _{10} ( 6 ) + lo g _{10} ( 2 )}

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

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