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

The solution to log_{b}(x)+2log_{b}(y) is log_{b}(xy^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(x)+2log_{b}(y)

simplify

lo g_{b} (x) + 2 lo g_{b} (y)

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

Solution steps

lo g_{b} (x) + 2 lo g_{b} (y)

Apply log rule:

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

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

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

Apply log rule:

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

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

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

ln (\frac{4}{27})

ln (\frac{3}{2}) - 1

ln (10) - 3 ln (6)

2 ln (3 x) + ln (x - 1)

ln (10.1) - ln (760)

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