en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2ln(x-1)-ln(x+2)

Solution

simplify

2 ln (x - 1) - ln (x + 2)

Solution

ln (\frac{( x - 1 ) ^{2}}{x + 2})

Solution steps

2 ln (x - 1) - ln (x + 2)

Apply log rule:

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

2 ln (x - 1) = ln ((x - 1)^{2})

= ln ((x - 1)^{2}) - ln (x + 2)

Apply log rule:

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

ln ((x - 1)^{2}) - ln (x + 2) = ln (\frac{( x - 1 ) ^{2}}{x + 2})

= ln (\frac{( x - 1 ) ^{2}}{x + 2})

Popular Examples

simplify ln((3y^2)/(y+1))simplify

ln (\frac{3 y ^{2}}{y + 1})

simplify ln((3-x)/(3+x))simplify

ln (\frac{3 - x}{3 + x})

join (1/2)ln(cos^2(x))join

(\frac{1}{2}) ln (cos^{2} (x))

simplify ln((2^{-3})/(1125))simplify

ln (\frac{2 ^{- 3}}{1125})

simplify ln(27/36)simplify

ln (\frac{27}{36})

Frequently Asked Questions (FAQ)

What is 2ln(x-1)-ln(x+2) ?
The solution to 2ln(x-1)-ln(x+2) is ln(((x-1)^2)/(x+2))