What is 1/2 ln((1+x)/(1-x)) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

15 + 6 n \geq 9

7^{\frac{1}{2}} \cdot 2 8^{\frac{1}{2}}

\frac{10 x + 1}{4} = \frac{9}{4}

\frac{v}{2} \geq 2

\frac{3 k - 27}{k ^{2} - 8 k - 9} + \frac{7 k + 14}{3 k ^{2} + 9 k + 6}

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