en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

Solution

simplify

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

Solution

ln^{3} (x^{4})

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

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

Simplify

x x^{3} : x^{4}

= ln^{3} (x^{4})

Popular Examples

simplify ln(1.84*10^{35})simplify

ln (1.84 \cdot 1 0^{35})

simplify ln(10)+3ln(x)+2ln(x^2+10)simplify

ln (10) + 3 ln (x) + 2 ln (x^{2} + 10)

simplify ln(5x)-ln(x)simplify

ln (5 x) - ln (x)

simplify ln(141/150)simplify

ln (\frac{141}{150})

simplify ln(-5/4 e^{4t})simplify

ln (- \frac{5}{4} e^{4 t})

Frequently Asked Questions (FAQ)

What is ln^3(x)+3ln^2(x) ?
The solution to ln^3(x)+3ln^2(x) is ln^3(x^4)