en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(xy^2)

Solution

simplify

lo g_{2} (x y^{2})

Solution

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

Solution steps

lo g_{2} (x y^{2})

Apply log rule:

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

lo g_{2} (x y^{2}) = lo g_{2} (x) + lo g_{2} (y^{2})

= lo g_{2} (x) + lo g_{2} (y^{2})

Simplify

lo g_{2} (y^{2}) : 2 lo g_{2} (y)

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

Popular Examples

simplify ln((e^6)/5)simplify

ln (\frac{e ^{6}}{5})

simplify log_{10}(x/y)-log_{10}(y/x)simplify

lo g_{10} (\frac{x}{y}) - lo g_{10} (\frac{y}{x})

simplify ln(41/10)simplify

ln (\frac{41}{10})

simplify ln((x^5)/(sqrt(5)(1+x)^4))simplify

ln (\frac{x ^{5}}{5 ( 1 + x ) ^{4}})

simplify log_{x}(1/8)simplify

lo g_{x} (\frac{1}{8})

Frequently Asked Questions (FAQ)

What is log_{2}(xy^2) ?
The solution to log_{2}(xy^2) is log_{2}(x)+2log_{2}(y)