en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 5ln(x^{1/3})+ln(9x)

Solution

simplify

5 ln (x^{\frac{1}{3}}) + ln (9 x)

Solution

ln (9 x^{\frac{8}{3}})

Solution steps

5 ln (x^{\frac{1}{3}}) + ln (9 x)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln (x^{\frac{1}{3}}) = ln ((x^{\frac{1}{3}})^{5})

= ln ((x^{\frac{1}{3}})^{5}) + ln (9 x)

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln ((x^{\frac{1}{3}})^{5}) + ln (9 x) = ln (9 x (x^{\frac{1}{3}})^{5})

= ln (9 x (x^{\frac{1}{3}})^{5})

Simplify

(x^{\frac{1}{3}})^{5} \cdot 9 x : 9 x^{\frac{8}{3}}

= ln (9 x^{\frac{8}{3}})

Popular Examples

simplify 5ln(2)-5ln(-2)simplify

5 ln (2) - 5 ln (- 2)

simplify ln((e+1)(e-1))-1 simplify

ln ((e + 1) (e - 1)) - 1

simplify ln(-f(-3))simplify

ln (- f (- 3))

simplify log_{3}(1/36)simplify

lo g_{3} (\frac{1}{36})

simplify-800ln(47/50)simplify

- 800 ln (\frac{47}{50})

Frequently Asked Questions (FAQ)

What is 5ln(x^{1/3})+ln(9x) ?
The solution to 5ln(x^{1/3})+ln(9x) is ln(9x^{8/3})