What is simplify-ln((x+1)/(x-1)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-ln((x+1)/(x-1))

simplify

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

- ln (x + 1) + ln (x - 1)

Solution steps

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

Apply log rule:

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

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

= - (ln (x + 1) - ln (x - 1))

Distribute parentheses

= - (ln (x + 1)) - (- ln (x - 1))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (x + 1) + ln (x - 1)

ln (\frac{x ^{4} y ^{2}}{z})

- \frac{ln ( \frac{5}{4} ) - ln ( 7 ) + ln ( 5 )}{2}

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

3 (ln (3) - ln (x)) + (ln (x) - ln (9))

ln (2 - 5) - ln (e^{2} + e^{4} + 1)

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