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^3)

Solution

simplify

lo g_{a} (u^{7} v^{3})

Solution

7 lo g_{a} (u) + 3 lo g_{a} (v)

Solution steps

lo g_{a} (u^{7} v^{3})

Apply log rule:

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

lo g_{a} (u^{7} v^{3}) = lo g_{a} (u^{7}) + lo g_{a} (v^{3})

= lo g_{a} (u^{7}) + lo g_{a} (v^{3})

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

lo g_{a} (v^{3}) = 3 lo g_{a} (v)

= 7 lo g_{a} (u) + 3 lo g_{a} (v)

Popular Examples

simplify log_{y}(+11log_{10}(z))simplify

lo g_{y} (+ 11 lo g_{10} (z))

simplify 2ln(40)-2ln(20)simplify

2 ln (40) - 2 ln (20)

join (ln(5/2))/(5ln(10))join

\frac{ln ( \frac{5}{2} )}{5 ln ( 10 )}

simplify log_{10}((x^2y^2)/(z^{15)})simplify

lo g_{10} (\frac{x ^{2} y ^{2}}{z ^{15}})

simplify 3log_{a}(5x^2)-1/4 log_{a}(8x+19)simplify

3 lo g_{a} (5 x^{2}) - \frac{1}{4} lo g_{a} (8 x + 19)

Frequently Asked Questions (FAQ)

What is log_{a}(u^7v^3) ?
The solution to log_{a}(u^7v^3) is 7log_{a}(u)+3log_{a}(v)