en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x^3*(x+2))

Solution

simplify

ln (x^{3} \cdot (x + 2))

Solution

3 ln (x) + ln (x + 2)

Solution steps

ln (x^{3} (x + 2))

Apply log rule:

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

ln (x^{3} (x + 2)) = ln (x^{3}) + ln (x + 2)

= ln (x^{3}) + ln (x + 2)

Apply log rule:

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

ln (x^{3}) = 3 ln (x)

= 3 ln (x) + ln (x + 2)

Popular Examples

join (2cos(2ln(x)))/(x^2)+x^3 join

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

simplify 2ln(a)-1/2 ln(b)simplify

2 ln (a) - \frac{1}{2} ln (b)

simplify 5.8+log_{10}((0.015)/(0.4))simplify

5.8 + lo g_{10} (\frac{0.015}{0.4})

simplify ln|x|+ln|sin(x)|simplify

ln ∣ x ∣ + ln ∣ sin (x) ∣

simplify log_{10}(6.5x10^7)-log_{10}(1000)simplify

lo g_{10} (6.5 x 1 0^{7}) - lo g_{10} (1000)

Frequently Asked Questions (FAQ)

What is ln(x^3*(x+2)) ?
The solution to ln(x^3*(x+2)) is 3ln(x)+ln(x+2)