What is log_{b}((x^3y)/(z^9)) ?

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

simplify

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

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

Solution steps

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

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{b} (\frac{x ^{3} y}{z ^{9}}) = lo g_{b} (x^{3} y) - lo g_{b} (z^{9})

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

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

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

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

\frac{2}{5} ln (\frac{15}{4})

lo g_{10} (6 x)

2 ln (x) + ln (y) + ln (z)

7 ln (x) - ln (x^{2} - 4) + ln (x^{2} + 2 x)

lo g_{10} (y) + 7 lo g_{10} (z)

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