en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

ln (x^{2} - 1) - ln (1 - x)

Solution steps

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

Apply log rule:

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

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

= ln (x^{2} - 1) - ln (- x + 1)

Popular Examples

simplify ln((7y)/(6z))simplify

ln (\frac{7 y}{6 z})

domain of f(x)=3ln(x+2)-ln(x-1)domain

f (x) = 3 ln (x + 2) - ln (x - 1)

simplify ln(3*3)simplify

ln (3 \cdot 3)

simplify 3ln(x+1)-2ln(x)simplify

3 ln (x + 1) - 2 ln (x)

simplify ln(x^2-4)-ln(x^2+2)simplify

ln (x^{2} - 4) - ln (x^{2} + 2)

Frequently Asked Questions (FAQ)

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