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

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

Popular Examples

simplify log_{a}(7x-4)-log_{a}(5x+2)simplify

lo g_{a} (7 x - 4) - lo g_{a} (5 x + 2)

simplify-log_{10}(1.6*10^{-5})simplify

- lo g_{10} (1.6 \cdot 1 0^{- 5})

simplify ln((e^8)/(15))simplify

ln (\frac{e ^{8}}{15})

simplify ln(x^4-1)-ln(x^2-1)simplify

ln (x^{4} - 1) - ln (x^{2} - 1)

simplify-log_{10}(4.1*10^{-2})simplify

- lo g_{10} (4.1 \cdot 1 0^{- 2})

Frequently Asked Questions (FAQ)

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