en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify 2ln(x)+5ln(x-2)simplify

2 ln (x) + 5 ln (x - 2)

simplify 1/2 ln(6/(1-e^{-6)})simplify

\frac{1}{2} ln (\frac{6}{1 - e ^{- 6}})

simplify log_{10}(5)+2log_{10}(x)+log_{10}(3)simplify

lo g_{10} (5) + 2 lo g_{10} (x) + lo g_{10} (3)

expand ln(1/x)expand

ln (\frac{1}{x})

simplify log_{10}((10x)/6)simplify

lo g_{10} (\frac{10 x}{6})

Frequently Asked Questions (FAQ)

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