en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3ln(x)+ln(x+1)

Solution

simplify

3 ln (x) + ln (x + 1)

Solution

ln (x^{3} (x + 1))

Solution steps

3 ln (x) + ln (x + 1)

Apply log rule:

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

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

= ln (x^{3}) + ln (x + 1)

Apply log rule:

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

ln (x^{3}) + ln (x + 1) = ln (x^{3} (x + 1))

= ln (x^{3} (x + 1))

Popular Examples

simplify ln((5y)/(6z))simplify

ln (\frac{5 y}{6 z})

simplify 1/2 log_{3}((9xy^2)/y)-log_{3}(27xy)simplify

\frac{1}{2} lo g_{3} (\frac{9 x y ^{2}}{y}) - lo g_{3} (27 x y)

simplify 4log_{10}(3x^2)-1/2 log_{10}(9x^8)simplify

4 lo g_{10} (3 x^{2}) - \frac{1}{2} lo g_{10} (9 x^{8})

simplify log_{10}(ax^b)simplify

lo g_{10} (a x^{b})

simplify ln|3-2|-3/2 ln|2*3-1|+2ln|3+3|simplify

ln ∣ 3 - 2 ∣ - \frac{3}{2} ln ∣ 2 \cdot 3 - 1 ∣ + 2 ln ∣ 3 + 3 ∣

Frequently Asked Questions (FAQ)

What is 3ln(x)+ln(x+1) ?
The solution to 3ln(x)+ln(x+1) is ln(x^3(x+1))