en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(8x)

Solution

simplify

lo g_{3} (8 x)

Solution

3 lo g_{3} (2) + lo g_{3} (x)

Solution steps

lo g_{3} (8 x)

Apply log rule:

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

lo g_{3} (8 x) = lo g_{3} (8) + lo g_{3} (x)

= lo g_{3} (8) + lo g_{3} (x)

lo g_{3} (8) = 3 lo g_{3} (2)

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

Popular Examples

simplify ln(x/5)simplify

ln (\frac{x}{5})

simplify 3ln(y)+5ln(z)simplify

3 ln (y) + 5 ln (z)

simplify log_{b}((x^2)/(z^5sqrt(y)))simplify

lo g_{b} (\frac{x ^{2}}{z ^{5} y})

simplify 4log_{3}(x^2)-3log_{3}(x^3)simplify

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

simplify log_{10}(6)-log_{10}(3)+2log_{10}(7)simplify

lo g_{10} (6) - lo g_{10} (3) + 2 lo g_{10} (7)

Frequently Asked Questions (FAQ)

What is log_{3}(8x) ?
The solution to log_{3}(8x) is 3log_{3}(2)+log_{3}(x)