en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(y^3z)

Solution

simplify

lo g_{b} (y^{3} z)

Solution

3 lo g_{b} (y) + lo g_{b} (z)

Solution steps

lo g_{b} (y^{3} z)

Apply log rule:

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

lo g_{b} (y^{3} z) = lo g_{b} (y^{3}) + lo g_{b} (z)

= lo g_{b} (y^{3}) + lo g_{b} (z)

Simplify

lo g_{b} (y^{3}) : 3 lo g_{b} (y)

= 3 lo g_{b} (y) + lo g_{b} (z)

Popular Examples

simplify log_{b}(1/10)+log_{b}(20)simplify

lo g_{b} (\frac{1}{10}) + lo g_{b} (20)

simplify 3log_{10}(x)+3log_{10}(y)simplify

3 lo g_{10} (x) + 3 lo g_{10} (y)

simplify log_{4}((8y)/z)simplify

lo g_{4} (\frac{8 y}{z})

simplify log_{10}(1/2)+log_{10}(4)-2 simplify

lo g_{10} (\frac{1}{2}) + lo g_{10} (4) - 2

simplify ln(8/(9x^9y))simplify

ln (\frac{8}{9 x ^{9} y})

Frequently Asked Questions (FAQ)

What is log_{b}(y^3z) ?
The solution to log_{b}(y^3z) is 3log_{b}(y)+log_{b}(z)