en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 4ln(x-4)-2ln(x)

Solution

simplify

4 ln (x - 4) - 2 ln (x)

Solution

ln (\frac{( x - 4 ) ^{4}}{x ^{2}})

Solution steps

4 ln (x - 4) - 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

4 ln (x - 4) = ln ((x - 4)^{4})

= ln ((x - 4)^{4}) - 2 ln (x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 ln (x) = ln (x^{2})

= ln ((x - 4)^{4}) - ln (x^{2})

Apply log rule:

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

ln ((x - 4)^{4}) - ln (x^{2}) = ln (\frac{( x - 4 ) ^{4}}{x ^{2}})

= ln (\frac{( x - 4 ) ^{4}}{x ^{2}})

Popular Examples

simplify log_{10}(2)+log_{10}(11)+log_{10}(7)simplify

lo g_{10} (2) + lo g_{10} (11) + lo g_{10} (7)

simplify log_{10}(6)+log_{10}(2)simplify

lo g_{10} (6) + lo g_{10} (2)

simplify-log_{10}(2.5*10^{-4})simplify

- lo g_{10} (2.5 \cdot 1 0^{- 4})

simplify ln(6x^9)-ln(3x^2)simplify

ln (6 x^{9}) - ln (3 x^{2})

expand log_{5}(w/(2b))expand

lo g_{5} (\frac{w}{2 b})

Frequently Asked Questions (FAQ)

What is 4ln(x-4)-2ln(x) ?
The solution to 4ln(x-4)-2ln(x) is ln(((x-4)^4)/(x^2))