en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x/(x+6))

Solution

simplify

ln (\frac{x}{x + 6})

Solution

ln (x) - ln (x + 6)

Solution steps

ln (\frac{x}{x + 6})

Apply log rule:

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

ln (\frac{x}{x + 6}) = ln (x) - ln (x + 6)

= ln (x) - ln (x + 6)

Popular Examples

simplify ln(3)-2ln(4)+ln(32)simplify

ln (3) - 2 ln (4) + ln (32)

join (ln(3/20))/(4ln(2))join

\frac{ln ( \frac{3}{20} )}{4 ln ( 2 )}

simplify 1/2 ln(1/3)simplify

\frac{1}{2} ln (\frac{1}{3})

simplify 1/4 log_{b}(x)+5log_{b}(y)-2log_{b}(x)simplify

\frac{1}{4} lo g_{b} (x) + 5 lo g_{b} (y) - 2 lo g_{b} (x)

simplify ln(x^{1/2}(x^4)^{1/2}(y^8)^{1/2})-7ln(x)simplify

ln (x^{\frac{1}{2}} (x^{4})^{\frac{1}{2}} (y^{8})^{\frac{1}{2}}) - 7 ln (x)

Frequently Asked Questions (FAQ)

What is ln(x/(x+6)) ?
The solution to ln(x/(x+6)) is ln(x)-ln(x+6)