What is 3log_{b}(x)+9log_{b}(z) ?

The solution to 3log_{b}(x)+9log_{b}(z) is log_{b}(x^3z^9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{b}(x)+9log_{b}(z)

simplify

3 lo g_{b} (x) + 9 lo g_{b} (z)

lo g_{b} (x^{3} z^{9})

Solution steps

3 lo g_{b} (x) + 9 lo g_{b} (z)

Apply log rule:

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

3 lo g_{b} (x) = lo g_{b} (x^{3})

= lo g_{b} (x^{3}) + 9 lo g_{b} (z)

Apply log rule:

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

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

= lo g_{b} (x^{3}) + lo g_{b} (z^{9})

Apply log rule:

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

lo g_{b} (x^{3}) + lo g_{b} (z^{9}) = lo g_{b} (x^{3} z^{9})

= lo g_{b} (x^{3} z^{9})

ln (\frac{e ^{9}}{8})

lo g_{10} (37 pq)

lo g_{2} (\frac{- 3 m ^{2} n ^{4}}{4 p})

ln (\frac{1 - y}{1 - y i})

lo g_{10} (3 x^{2} y)

What is 3log_{b}(x)+9log_{b}(z) ?
The solution to 3log_{b}(x)+9log_{b}(z) is log_{b}(x^3z^9)