What is log_{3}(x)+2log_{3}(y)-4 ?

The solution to log_{3}(x)+2log_{3}(y)-4 is log_{3}(xy^2)-4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(x)+2log_{3}(y)-4

simplify

lo g_{3} (x) + 2 lo g_{3} (y) - 4

lo g_{3} (x y^{2}) - 4

Solution steps

lo g_{3} (x) + 2 lo g_{3} (y) - 4

Apply log rule:

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

2 lo g_{3} (y) = lo g_{3} (y^{2})

= lo g_{3} (x) + lo g_{3} (y^{2}) - 4

Apply log rule:

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

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

= lo g_{3} (x y^{2}) - 4

ln (\frac{x}{x ^{2} + 5})

ln (\frac{2 ^{- 3}}{3 ^{2} 5 ^{- 2}})

\frac{1}{3} lo g_{10} (27) - \frac{1}{2} lo g_{10} (25)

lo g_{4} (5 x^{3} y)

lo g_{2} (\frac{x ^{2}}{x + 1})

What is log_{3}(x)+2log_{3}(y)-4 ?
The solution to log_{3}(x)+2log_{3}(y)-4 is log_{3}(xy^2)-4