en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

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

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

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

Popular Examples

simplify (ln(3)-ln(7))/(2ln(7))simplify

\frac{ln ( 3 ) - ln ( 7 )}{2 ln ( 7 )}

simplify ((log_{3}(106)-log_{3}(5)))/(log_{3)(8)}simplify

\frac{( lo g _{3} ( 106 ) - lo g _{3} ( 5 ) )}{lo g _{3} ( 8 )}

simplify ln(a)+ln(b)+ln(c)simplify

ln (a) + ln (b) + ln (c)

simplify log_{3}(4)+log_{3}(x)-log_{3}(5)simplify

lo g_{3} (4) + lo g_{3} (x) - lo g_{3} (5)

expand ln((3d^2)/(4^{-1)})expand

ln (\frac{3 d ^{2}}{4 ^{- 1}})

Frequently Asked Questions (FAQ)

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