en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(32)+log_{10}(1/8)simplify

lo g_{10} (32) + lo g_{10} (\frac{1}{8})

simplify 5log_{10}(2)+4log_{10}(x)simplify

5 lo g_{10} (2) + 4 lo g_{10} (x)

simplify 5log_{b}(x)-3log_{b}(y)simplify

5 lo g_{b} (x) - 3 lo g_{b} (y)

simplify (4ln(2))/(4ln(5)-5ln(2))simplify

\frac{4 ln ( 2 )}{4 ln ( 5 ) - 5 ln ( 2 )}

simplify x^2-1/2 ln|x+2|+3/2 ln|x-4|+C simplify

x^{2} - \frac{1}{2} ln ∣ x + 2 ∣ + \frac{3}{2} ln ∣ x - 4 ∣ + C

Frequently Asked Questions (FAQ)

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