What is expand ln(sqrt(y/(1-y))) ?

The solution to expand ln(sqrt(y/(1-y))) is 1/2 ln(y/(1-y))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(sqrt(y/(1-y)))

expand

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

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

Solution steps

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

Rewrite as

= ln ((\frac{y}{1 - y})^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} ln (\frac{y}{- y + 1})

(e^{x} + 3)^{2}

\frac{( 1 - e ^{(- 2 \cdot s)} )}{( s \cdot ( s ^{2} + 2 \cdot s + 26 ) )}

(1 - 2 i)^{6}

(x - π) (x + π)

\frac{( x - 3 ) ^{2}}{x ^{2} - 4}

What is expand ln(sqrt(y/(1-y))) ?
The solution to expand ln(sqrt(y/(1-y))) is 1/2 ln(y/(1-y))