What is log_{2}((x-4)^3)+log_{2}(x-4)-1 ?

The solution to log_{2}((x-4)^3)+log_{2}(x-4)-1 is log_{2}((x-4)^4)-1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}((x-4)^3)+log_{2}(x-4)-1

simplify

lo g_{2} ((x - 4)^{3}) + lo g_{2} (x - 4) - 1

lo g_{2} ((x - 4)^{4}) - 1

Solution steps

lo g_{2} ((x - 4)^{3}) + lo g_{2} (x - 4) - 1

Apply log rule:

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

lo g_{2} ((x - 4)^{3}) + lo g_{2} (x - 4) = lo g_{2} ((x - 4)^{3} (x - 4))

= lo g_{2} ((x - 4)^{3} (x - 4)) - 1

Simplify

(x - 4)^{3} (x - 4) : (x - 4)^{4}

= lo g_{2} ((x - 4)^{4}) - 1

- lo g_{10} (2 \cdot 1 0^{(- 4)})

ln (\frac{d - R}{R})

ln (\frac{x ^{4} - 1}{x ^{2} - 1})

ln (3 e^{2 t})

ln (\frac{x}{17 x - x})

What is log_{2}((x-4)^3)+log_{2}(x-4)-1 ?
The solution to log_{2}((x-4)^3)+log_{2}(x-4)-1 is log_{2}((x-4)^4)-1