What is log_{b}(7x*3y) ?

The solution to log_{b}(7x*3y) is log_{b}(21)+log_{b}(x)+log_{b}(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(7x*3y)

simplify

lo g_{b} (7 x \cdot 3 y)

lo g_{b} (21) + lo g_{b} (x) + lo g_{b} (y)

Solution steps

lo g_{b} (7 x \cdot 3 y)

Simplify

7 x \cdot 3 y : 21 x y

= lo g_{b} (21 x y)

Apply log rule:

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

lo g_{b} (21 x y) = lo g_{b} (21) + lo g_{b} (x) + lo g_{b} (y)

= lo g_{b} (21) + lo g_{b} (x) + lo g_{b} (y)

ln (2) + ln (6)

lo g_{a} (x) + lo g_{a} (y) - lo g_{a} (m)

lo g_{3} (\frac{9 b ^{3} y ^{2} - 4}{y ( x + 4 ) ^{2}})

ln (9) - ln (8)

7 ln (x) - \frac{1}{2} ln (y)

What is log_{b}(7x*3y) ?
The solution to log_{b}(7x*3y) is log_{b}(21)+log_{b}(x)+log_{b}(y)