What is 3log_{b}(x)+2log_{b}(z) ?

The solution to 3log_{b}(x)+2log_{b}(z) is log_{b}(x^3z^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3log_{b}(x)+2log_{b}(z)

simplify

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

lo g_{b} (x^{3} z^{2})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= lo g_{b} (x^{3} z^{2})

lo g_{8} (\frac{1}{24})

\frac{1}{5} lo g_{6} (3)

195.94 \cdot ln (\frac{x}{0.0125}) + \frac{5.694}{x} - 911.06

ln (b d x^{d - 1} e^{- b x^{d}})

ln ((cot (x))^{- 2 x})

What is 3log_{b}(x)+2log_{b}(z) ?
The solution to 3log_{b}(x)+2log_{b}(z) is log_{b}(x^3z^2)