What is ln(x^2(x+5)^{1/3}) ?

The solution to ln(x^2(x+5)^{1/3}) is 2ln(x)+1/3 ln(x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^2(x+5)^{1/3})

simplify

ln (x^{2} (x + 5)^{\frac{1}{3}})

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

Solution steps

ln (x^{2} (x + 5)^{\frac{1}{3}})

Apply log rule:

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

ln (x^{2} (x + 5)^{\frac{1}{3}}) = ln (x^{2}) + ln ((x + 5)^{\frac{1}{3}})

= ln (x^{2}) + ln ((x + 5)^{\frac{1}{3}})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (x^{2}) = 2 ln (x)

= 2 ln (x) + ln ((x + 5)^{\frac{1}{3}})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

= 2 ln (x) + \frac{1}{3} ln (x + 5)

\frac{2000 ln ( \frac{11}{125} )}{ln ( 5 )}

4 ln (6 ln (x))

- ln (4.9) + 2 ln (5.9)

45 ln (2 cos (x^{2}))

ln (\frac{31.7}{22.8})

What is ln(x^2(x+5)^{1/3}) ?
The solution to ln(x^2(x+5)^{1/3}) is 2ln(x)+1/3 ln(x+5)