What is 5log_{2}(x)+7log_{2}(y) ?

The solution to 5log_{2}(x)+7log_{2}(y) is log_{2}(x^5y^7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5log_{2}(x)+7log_{2}(y)

simplify

5 lo g_{2} (x) + 7 lo g_{2} (y)

lo g_{2} (x^{5} y^{7})

Solution steps

5 lo g_{2} (x) + 7 lo g_{2} (y)

Apply log rule:

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

5 lo g_{2} (x) = lo g_{2} (x^{5})

= lo g_{2} (x^{5}) + 7 lo g_{2} (y)

Apply log rule:

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

7 lo g_{2} (y) = lo g_{2} (y^{7})

= lo g_{2} (x^{5}) + lo g_{2} (y^{7})

Apply log rule:

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

lo g_{2} (x^{5}) + lo g_{2} (y^{7}) = lo g_{2} (x^{5} y^{7})

= lo g_{2} (x^{5} y^{7})

\frac{1}{2} ln (\frac{4 + 7}{3})

ln (\frac{1}{32})

ln (\frac{1}{0.015})

- lo g_{10} (3.16 \cdot 1 0^{- 3})

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

What is 5log_{2}(x)+7log_{2}(y) ?
The solution to 5log_{2}(x)+7log_{2}(y) is log_{2}(x^5y^7)