en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{a}(u^7v^2)

Solution

simplify

lo g_{a} (u^{7} v^{2})

Solution

7 lo g_{a} (u) + 2 lo g_{a} (v)

Solution steps

lo g_{a} (u^{7} v^{2})

Apply log rule:

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

lo g_{a} (u^{7} v^{2}) = lo g_{a} (u^{7}) + lo g_{a} (v^{2})

= lo g_{a} (u^{7}) + lo g_{a} (v^{2})

lo g_{a} (u^{7}) = 7 lo g_{a} (u)

lo g_{a} (v^{2}) = 2 lo g_{a} (v)

= 7 lo g_{a} (u) + 2 lo g_{a} (v)

Popular Examples

simplify log_{4}((k^2-16)/(4k))simplify

lo g_{4} (\frac{k ^{2} - 16}{4 k})

simplify log_{2}((y-w)/v)simplify

lo g_{2} (\frac{y - w}{v})

simplify log_{10}((1000)/(c^4+2))simplify

lo g_{10} (\frac{1000}{c ^{4} + 2})

expand ln(ln((sinh(x)+cosh(x))^2))expand

ln (ln ((sinh (x) + cosh (x))^{2}))

simplify ln(19/3)simplify

ln (\frac{19}{3})

Frequently Asked Questions (FAQ)

What is log_{a}(u^7v^2) ?
The solution to log_{a}(u^7v^2) is 7log_{a}(u)+2log_{a}(v)