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)/x)

Solution

simplify

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

Solution

ln (x + 1) - ln (x)

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}((sqrt(x))/(100y^5))simplify

lo g_{10} (\frac{x}{100 y ^{5}})

simplify log_{10}((x^2-1)/(x^3))simplify

lo g_{10} (\frac{x ^{2} - 1}{x ^{3}})

simplify ln^2(4x)simplify

ln^{2} (4 x)

simplify log_{2}(x^2)+log_{2}(x-1)-4 simplify

lo g_{2} (x^{2}) + lo g_{2} (x - 1) - 4

simplify (-6/10)log_{2}(6/10)-(4/10)log_{2}(4/10)simplify

(- \frac{6}{10}) lo g_{2} (\frac{6}{10}) - (\frac{4}{10}) lo g_{2} (\frac{4}{10})

Frequently Asked Questions (FAQ)

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