en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(yz^8)

Solution

simplify

lo g_{b} (y z^{8})

Solution

lo g_{b} (y) + 8 lo g_{b} (z)

Solution steps

lo g_{b} (y z^{8})

Apply log rule:

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

lo g_{b} (y z^{8}) = lo g_{b} (y) + lo g_{b} (z^{8})

= lo g_{b} (y) + lo g_{b} (z^{8})

Simplify

lo g_{b} (z^{8}) : 8 lo g_{b} (z)

= lo g_{b} (y) + 8 lo g_{b} (z)

Popular Examples

simplify 6ln(x)-1/3 ln(y)-2/3 ln(z)simplify

6 ln (x) - \frac{1}{3} ln (y) - \frac{2}{3} ln (z)

simplify log_{9}(7)-log_{9}(5)simplify

lo g_{9} (7) - lo g_{9} (5)

simplify log_{9}(7)-log_{9}(4)simplify

lo g_{9} (7) - lo g_{9} (4)

simplify log_{x}(-2log_{y}(+3log_{z}(x)))simplify

lo g_{x} (- 2 lo g_{y} (+ 3 lo g_{z} (x)))

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

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

Frequently Asked Questions (FAQ)

What is log_{b}(yz^8) ?
The solution to log_{b}(yz^8) is log_{b}(y)+8log_{b}(z)