en

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}(4)

Solution

simplify

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

Solution

4

Solution steps

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

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

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

= lo g_{3} (3^{4})

Apply log rule:

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

= 4

Popular Examples

simplify-x+2z+x+2y simplify

- x + 2 z + x + 2 y

expand (2x+1)(2x+3)expand

(2 x + 1) (2 x + 3)

simplify 6/(-5)simplify

\frac{6}{- 5}

simplify 5/6-3/10 simplify

\frac{5}{6} - \frac{3}{10}

factor 144x^2-49 factor

144 x^{2} - 49

Frequently Asked Questions (FAQ)

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