en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

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

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

Apply log rule:

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

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

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

Popular Examples

simplify ln(-1)-ln(2)simplify

ln (- 1) - ln (2)

simplify ln(31)-ln(132)simplify

ln (31) - ln (132)

simplify-log_{10}(7*10^{-3})simplify

- lo g_{10} (7 \cdot 1 0^{- 3})

domain of f(a)=ln(a/2)-ln(a)domain

f (a) = ln (\frac{a}{2}) - ln (a)

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

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

Frequently Asked Questions (FAQ)

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