en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(8)-3ln(1/2)

Solution

simplify

ln (8) - 3 ln (\frac{1}{2})

Solution

6 ln (2)

+1

Decimal Notation

4.15888 \dots

Solution steps

ln (8) - 3 ln (\frac{1}{2})

Apply log rule:

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

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

= ln (8) - 3 (ln (1) - ln (2))

3 (ln (1) - ln (2)) = - 3 ln (2)

= ln (8) - (- 3 ln (2))

Apply rule

- (- a) = a

= ln (8) + 3 ln (2)

ln (8) = 3 ln (2)

= 3 ln (2) + 3 ln (2)

Add similar elements:

3 ln (2) + 3 ln (2) = 6 ln (2)

= 6 ln (2)

Popular Examples

simplify ln(303625x^{2013176})simplify

ln (303625 x^{2013176})

simplify ln(a)-4ln(b)+6ln(c)simplify

ln (a) - 4 ln (b) + 6 ln (c)

simplify ln(0.89*10^{-14})simplify

ln (0.89 \cdot 1 0^{- 14})

simplify 3log_{b}(x)+log_{b}(2y)-1 simplify

3 lo g_{b} (x) + lo g_{b} (2 y) - 1

simplify ln(e^3x)simplify

ln (e^{3} x)

Frequently Asked Questions (FAQ)

What is ln(8)-3ln(1/2) ?
The solution to ln(8)-3ln(1/2) is 6ln(2)