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

The solution to log_{b}(x)+log_{b}(y)-log_{b}(t) is log_{b}((xy)/t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(x)+log_{b}(y)-log_{b}(t)

simplify

lo g_{b} (x) + lo g_{b} (y) - lo g_{b} (t)

lo g_{b} (\frac{x y}{t})

Solution steps

lo g_{b} (x) + lo g_{b} (y) - lo g_{b} (t)

Apply log rule:

lo g_{a} (x) + lo g_{a} (y) = lo g_{a} (x y)

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

= lo g_{b} (x y) - lo g_{b} (t)

Apply log rule:

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

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

= lo g_{b} (\frac{x y}{t})

ln ((x^{2} + 5)^{5} (1 - x^{4})^{4})

lo g_{3} (11 z)

lo g_{9} (\frac{g}{81})

ln (3 x y^{2})

3 ln (x) + 2 ln (y) + ln (5)

What is log_{b}(x)+log_{b}(y)-log_{b}(t) ?
The solution to log_{b}(x)+log_{b}(y)-log_{b}(t) is log_{b}((xy)/t)