en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{3}(x^4y)

Solution

simplify

lo g_{3} (x^{4} y)

Solution

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

Solution steps

lo g_{3} (x^{4} y)

Apply log rule:

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

lo g_{3} (x^{4} y) = lo g_{3} (x^{4}) + lo g_{3} (y)

= lo g_{3} (x^{4}) + lo g_{3} (y)

Simplify

lo g_{3} (x^{4}) : 4 lo g_{3} (x)

= 4 lo g_{3} (x) + lo g_{3} (y)

Popular Examples

simplify log_{b}((p^2q^5)/(m^4b^9))simplify

lo g_{b} (\frac{p ^{2} q ^{5}}{m ^{4} b ^{9}})

simplify log_{2}(Ine^4)simplify

lo g_{2} (I n e^{4})

simplify ln(x/(sqrt(x)*y^3))simplify

ln (\frac{x}{x \cdot y ^{3}})

simplify ln(x^r)+ln(y^r)simplify

ln (x^{r}) + ln (y^{r})

simplify 3ln(2x)simplify

3 ln (2 x)

Frequently Asked Questions (FAQ)

What is log_{3}(x^4y) ?
The solution to log_{3}(x^4y) is 4log_{3}(x)+log_{3}(y)