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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

simplify

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

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

Solution steps

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

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}) + lo g_{b} (y)

Apply log rule:

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

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

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

5 ln (2 y + 1) - ln (y^{2} + 1)

(1.3)^{2} + ln (1.3) - ln (2 e^{1})

ln (\frac{1}{x c})

\frac{1}{59049} \cdot ln^{- 1} (\frac{1}{3})

- \frac{1}{0.22} ln (\frac{1}{150})

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