en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2 x) = ln (2) + ln (x)

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

Popular Examples

simplify 3ln(2)+2ln(x)-1/2 ln(x+8)simplify

3 ln (2) + 2 ln (x) - \frac{1}{2} ln (x + 8)

simplify-ln(2pi)-1/2 (0.1^2+0.3^2)-2.23804 simplify

- ln (2 π) - \frac{1}{2} (0. 1^{2} + 0. 3^{2}) - 2.23804

expand 1/2 log_{2}(3)-2log_{2}(5)expand

\frac{1}{2} lo g_{2} (3) - 2 lo g_{2} (5)

simplify-log_{10}(8.04*10^{-8})simplify

- lo g_{10} (8.04 \cdot 1 0^{- 8})

simplify ln(x/(sqrt(9+x^2)))simplify

ln (\frac{x}{9 + x ^{2}})

Frequently Asked Questions (FAQ)

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