en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(-2)-ln(-6)

Solution

simplify

ln (- 2) - ln (- 6)

Solution

- ln (3)

+1

Decimal Notation

- 1.09861 \dots

Solution steps

ln (- 2) - ln (- 6)

Apply log rule:

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

ln (- 2) - ln (- 6) = ln (\frac{- 2}{- 6})

= ln (\frac{- 2}{- 6})

\frac{- 2}{- 6} = \frac{1}{3}

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

Apply log rule:

lo g_{a} (\frac{1}{x}) = - lo g_{a} (x)

= - ln (3)

Popular Examples

simplify 1/3 ln(x)-1/3 ln(y)simplify

\frac{1}{3} ln (x) - \frac{1}{3} ln (y)

simplify log_{5}((x^3sqrt(x^2+1))/((x+1)^4))simplify

lo g_{5} (\frac{x ^{3} x ^{2} + 1}{( x + 1 ) ^{4}})

simplify 1/2 log_{10}(x)+3log_{10}(y)simplify

\frac{1}{2} lo g_{10} (x) + 3 lo g_{10} (y)

expand log_{10}(a/b)expand

lo g_{10} (\frac{a}{b})

simplify log_{10}(yz^2)simplify

lo g_{10} (y z^{2})

Frequently Asked Questions (FAQ)

What is ln(-2)-ln(-6) ?
The solution to ln(-2)-ln(-6) is -ln(3)