en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(x(2x+5)^3)

Solution

simplify

ln (x (2 x + 5)^{3})

Solution

ln (x) + 3 ln (2 x + 5)

Solution steps

ln (x (2 x + 5)^{3})

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (x) + 3 ln (2 x + 5)

Popular Examples

simplify ln(a-4)+9ln(a)simplify

ln (a - 4) + 9 ln (a)

simplify 3(ln(2e))^2+4ln(2e)simplify

3 (ln (2 e))^{2} + 4 ln (2 e)

simplify ln((2x)/(5y))simplify

ln (\frac{2 x}{5 y})

simplify ln(cy)simplify

ln (cy)

simplify ln(xy^2z^{-4})simplify

ln (x y^{2} z^{- 4})

Frequently Asked Questions (FAQ)

What is ln(x(2x+5)^3) ?
The solution to ln(x(2x+5)^3) is ln(x)+3ln(2x+5)