en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x/(3x+1))

Solution

simplify

ln (\frac{x}{3 x + 1})

Solution

ln (x) - ln (3 x + 1)

Solution steps

ln (\frac{x}{3 x + 1})

Apply log rule:

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

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

= ln (x) - ln (3 x + 1)

Popular Examples

simplify-log_{10}(1.9*10^{-8})simplify

- lo g_{10} (1.9 \cdot 1 0^{- 8})

simplify ln(6)+ln(sqrt((e^{(2.47519)))/3})simplify

ln (6) + ln (\frac{e ^{(2.47519)}}{3})

simplify 9ln(sqrt(x))-ln(sqrt((y/x)^2+1)+y/x)simplify

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

simplify 2log_{a}(x)-3log_{a}(y)simplify

2 lo g_{a} (x) - 3 lo g_{a} (y)

simplify 3log_{c}(y)-15/4 log_{c}(x)simplify

3 lo g_{c} (y) - \frac{15}{4} lo g_{c} (x)

Frequently Asked Questions (FAQ)

What is ln(x/(3x+1)) ?
The solution to ln(x/(3x+1)) is ln(x)-ln(3x+1)