What is log_{2}(x)+4log_{2}(y) ?

The solution to log_{2}(x)+4log_{2}(y) is log_{2}(xy^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(x)+4log_{2}(y)

simplify

lo g_{2} (x) + 4 lo g_{2} (y)

lo g_{2} (x y^{4})

Solution steps

lo g_{2} (x) + 4 lo g_{2} (y)

Apply log rule:

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

4 lo g_{2} (y) = lo g_{2} (y^{4})

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

Apply log rule:

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

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

= lo g_{2} (x y^{4})

2 (450 ln (30) - 200 - 50 ln (10))

ln (- 5 a e^{- 5 a})

ln (e \cdot x)

\frac{1}{3} ln ∣ x ∣ + \frac{2}{3} ln ∣ x + 3 ∣ + C

6 ln (x) + \frac{1}{2} ln (y) - 3

What is log_{2}(x)+4log_{2}(y) ?
The solution to log_{2}(x)+4log_{2}(y) is log_{2}(xy^4)