What is log_{2}(3)+4log_{2}(x)-6log_{2}(y) ?

The solution to log_{2}(3)+4log_{2}(x)-6log_{2}(y) is log_{2}((3x^4)/(y^6))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(3)+4log_{2}(x)-6log_{2}(y)

simplify

lo g_{2} (3) + 4 lo g_{2} (x) - 6 lo g_{2} (y)

lo g_{2} (\frac{3 x ^{4}}{y ^{6}})

Solution steps

lo g_{2} (3) + 4 lo g_{2} (x) - 6 lo g_{2} (y)

Apply log rule:

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

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

= lo g_{2} (3) + lo g_{2} (x^{4}) - 6 lo g_{2} (y)

Apply log rule:

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

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

= lo g_{2} (3 x^{4}) - 6 lo g_{2} (y)

Apply log rule:

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

6 lo g_{2} (y) = lo g_{2} (y^{6})

= lo g_{2} (3 x^{4}) - lo g_{2} (y^{6})

Apply log rule:

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

lo g_{2} (3 x^{4}) - lo g_{2} (y^{6}) = lo g_{2} (\frac{3 x ^{4}}{y ^{6}})

= lo g_{2} (\frac{3 x ^{4}}{y ^{6}})

7 lo g_{3} (k) + 6 lo g_{3} (m) - 9 lo g_{3} (n)

ln (x^{2} - 9) - ln (2 x^{2} - 5 x - 3) - 2 ln (x + 3)

- lo g_{10} (2 \cdot 1 0^{- 14})

\frac{1}{2} ln (\frac{3}{2})

ln (4) + 2 ln (3)

What is log_{2}(3)+4log_{2}(x)-6log_{2}(y) ?
The solution to log_{2}(3)+4log_{2}(x)-6log_{2}(y) is log_{2}((3x^4)/(y^6))