en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

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

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

Popular Examples

expand log_{10}(10(x+1)^2)expand

lo g_{10} (10 (x + 1)^{2})

expand log_{3}((4x)/5)expand

lo g_{3} (\frac{4 x}{5})

simplify ln((sqrt(x-1))/x)simplify

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

simplify-log_{10}(1.5*10^{-11})simplify

- lo g_{10} (1.5 \cdot 1 0^{- 11})

simplify ln(2.2)+(ln(4.3))+ln(6.15)simplify

ln (2.2) + (ln (4.3)) + ln (6.15)

Frequently Asked Questions (FAQ)

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