What is 6log_{2}(x)+12log_{2}(y) ?

The solution to 6log_{2}(x)+12log_{2}(y) is log_{2}(x^6y^{12})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 6log_{2}(x)+12log_{2}(y)

simplify

6 lo g_{2} (x) + 12 lo g_{2} (y)

lo g_{2} (x^{6} y^{12})

Solution steps

6 lo g_{2} (x) + 12 lo g_{2} (y)

Apply log rule:

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

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

= lo g_{2} (x^{6}) + 12 lo g_{2} (y)

Apply log rule:

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

12 lo g_{2} (y) = lo g_{2} (y^{12})

= lo g_{2} (x^{6}) + lo g_{2} (y^{12})

Apply log rule:

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

lo g_{2} (x^{6}) + lo g_{2} (y^{12}) = lo g_{2} (x^{6} y^{12})

= lo g_{2} (x^{6} y^{12})

ln (10 t)

ln (2 ln (x))

lo g_{10} (R^{5} S^{4})

\frac{lo g _{4} ( t - 4 ) + lo g _{4} ( 2 t ^{2} - 7 t - 4 )}{2}

What is 6log_{2}(x)+12log_{2}(y) ?
The solution to 6log_{2}(x)+12log_{2}(y) is log_{2}(x^6y^{12})