What is 2log_{b}(x)+9log_{b}(z) ?

The solution to 2log_{b}(x)+9log_{b}(z) is log_{b}(x^2z^9)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2log_{b}(x)+9log_{b}(z)

simplify

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

lo g_{b} (x^{2} z^{9})

Solution steps

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

Apply log rule:

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

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

= lo g_{b} (x^{2}) + 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^{2}) + lo g_{b} (z^{9})

Apply log rule:

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

lo g_{b} (x^{2}) + lo g_{b} (z^{9}) = lo g_{b} (x^{2} z^{9})

= lo g_{b} (x^{2} z^{9})

lo g_{5} (\frac{2 x - 1}{5})

4 ln (x) + 3 ln (y) - 6 ln (z)

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

ln (w) + 3 ln (4 z)

lo g_{a} (\frac{x ^{2} y}{z})

What is 2log_{b}(x)+9log_{b}(z) ?
The solution to 2log_{b}(x)+9log_{b}(z) is log_{b}(x^2z^9)