What is log_{3}(324)-log_{3}(9)-log_{3}(4) ?

The solution to log_{3}(324)-log_{3}(9)-log_{3}(4) is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(324)-log_{3}(9)-log_{3}(4)

simplify

lo g_{3} (324) - lo g_{3} (9) - lo g_{3} (4)

2

Solution steps

lo g_{3} (324) - lo g_{3} (9) - lo g_{3} (4)

Apply log rule:

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

lo g_{3} (324) - lo g_{3} (9) = lo g_{3} (\frac{324}{9})

= lo g_{3} (\frac{324}{9}) - lo g_{3} (4)

Apply log rule:

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

lo g_{3} (\frac{324}{9}) - lo g_{3} (4) = lo g_{3} (\frac{\frac{324}{9}}{4})

= lo g_{3} (\frac{\frac{324}{9}}{4})

\frac{\frac{324}{9}}{4} = 3^{2}

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

Apply log rule:

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

= 2

\frac{3}{15} 0.1

\frac{65 \cdot 51}{68 \cdot 78}

(8 + 8 i) (- 3 + 9 i)

(11 + 7 i) (- 1 + 7 i)

What is log_{3}(324)-log_{3}(9)-log_{3}(4) ?
The solution to log_{3}(324)-log_{3}(9)-log_{3}(4) is 2