What is log_{b}(x^9y^8z) ?

The solution to log_{b}(x^9y^8z) is 9log_{b}(x)+8log_{b}(y)+log_{b}(z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(x^9y^8z)

simplify

lo g_{b} (x^{9} y^{8} z)

9 lo g_{b} (x) + 8 lo g_{b} (y) + lo g_{b} (z)

Solution steps

lo g_{b} (x^{9} y^{8} z)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (x^{9} y^{8} z) = lo g_{b} (x^{9}) + lo g_{b} (y^{8}) + lo g_{b} (z)

= lo g_{b} (x^{9}) + lo g_{b} (y^{8}) + lo g_{b} (z)

lo g_{b} (x^{9}) = 9 lo g_{b} (x)

lo g_{b} (y^{8}) = 8 lo g_{b} (y)

= 9 lo g_{b} (x) + 8 lo g_{b} (y) + lo g_{b} (z)

ln (a) - ln (b) - ln (c)

ln (\frac{6}{1})

lo g_{5} (4) + lo g_{5} (9)

\frac{1}{5800} ln (\frac{1}{2})

What is log_{b}(x^9y^8z) ?
The solution to log_{b}(x^9y^8z) is 9log_{b}(x)+8log_{b}(y)+log_{b}(z)