en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(7)-ln(14)

Solution

simplify

ln (7) - ln (14)

Solution

- ln (2)

+1

Decimal Notation

- 0.69314 \dots

Solution steps

ln (7) - ln (14)

Apply log rule:

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

ln (7) - ln (14) = ln (\frac{7}{14})

= ln (\frac{7}{14})

Cancel the common factor:

7

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

Apply log rule:

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

= - ln (2)

Popular Examples

simplify 4log_{10}(2)+log_{10}(3)simplify

4 lo g_{10} (2) + lo g_{10} (3)

expand log_{b}(4x^2y)expand

lo g_{b} (4 x^{2} y)

simplify-log_{10}(3*10^{-8})simplify

- lo g_{10} (3 \cdot 1 0^{- 8})

simplify log_{8}(5)+log_{8}(7)simplify

lo g_{8} (5) + lo g_{8} (7)

simplify log_{b}(b)-1/3 log_{b}(y)+1/4 log_{b}(z)simplify

lo g_{b} (b) - \frac{1}{3} lo g_{b} (y) + \frac{1}{4} lo g_{b} (z)

Frequently Asked Questions (FAQ)

What is ln(7)-ln(14) ?
The solution to ln(7)-ln(14) is -ln(2)