What is log_{2}(x^2-3x+2)-log_{2}(x-1) ?

The solution to log_{2}(x^2-3x+2)-log_{2}(x-1) is log_{2}(x-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

lo g_{2} (x - 2)

Solution steps

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

Apply log rule:

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

lo g_{2} (x^{2} - 3 x + 2) - lo g_{2} (x - 1) = lo g_{2} (\frac{x ^{2} - 3 x + 2}{x - 1})

= lo g_{2} (\frac{x ^{2} - 3 x + 2}{x - 1})

Simplify

\frac{x ^{2} - 3 x + 2}{x - 1} : x - 2

= lo g_{2} (x - 2)

2 lo g_{10} (5) - lo g_{10} (15) + lo g_{10} (9)

lo g_{3} (\frac{3}{y})

lo g_{x} (x y)

lo g_{7} (\frac{2 ^{3}}{5 ^{2}})

- lo g_{10} (1.124 \cdot 1 0^{- 6})

What is log_{2}(x^2-3x+2)-log_{2}(x-1) ?
The solution to log_{2}(x^2-3x+2)-log_{2}(x-1) is log_{2}(x-2)