What is simplify-ln(y/2+1)+ln(y/2-1) ?

The solution to simplify-ln(y/2+1)+ln(y/2-1) is ln((y-2)/(y+2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln(y/2+1)+ln(y/2-1)

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

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

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

Simplify

\frac{\frac{y}{2} - 1}{\frac{y}{2} + 1} : \frac{y - 2}{y + 2}

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

ln (\frac{68}{75})

lo g_{10} (\frac{x ^{5} y}{z ^{2}})

- ln (2 x) + ln (x)

ln (\frac{99}{49})

ln (\frac{4 x - 2}{3 x - 1})

What is simplify-ln(y/2+1)+ln(y/2-1) ?
The solution to simplify-ln(y/2+1)+ln(y/2-1) is ln((y-2)/(y+2))