en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{2}(x^3y^2)

Solution

simplify

lo g_{2} (x^{3} y^{2})

Solution

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

Solution steps

lo g_{2} (x^{3} y^{2})

Apply log rule:

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

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

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

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

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

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

Popular Examples

simplify log_{10}((m/n)*(p/q))simplify

lo g_{10} ((\frac{m}{n}) \cdot (\frac{p}{q}))

expand log_{2}((sqrt(a^2-9))/5)expand

lo g_{2} (\frac{a ^{2} - 9}{5})

join 2log_{2sqrt(2)}(15)join

2 lo g_{22} (15)

simplify ln(8)-ln(7)simplify

ln (8) - ln (7)

simplify log_{10}(9sqrt(x))simplify

lo g_{10} (9 x)

Frequently Asked Questions (FAQ)

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