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-1))

Solution

simplify

ln (\frac{x ^{3}}{x - 1})

Solution

3 ln (x) - ln (x - 1)

Solution steps

ln (\frac{x ^{3}}{x - 1})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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

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

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 - 1)

Popular Examples

simplify log_{10}(80)+log_{10}(6)simplify

lo g_{10} (80) + lo g_{10} (6)

simplify ln(1/x x^4)simplify

ln (\frac{1}{x} x^{4})

simplify-log_{10}(3.39880433\times 10^{-5})simplify

- lo g_{10} (3.39880433 \times 1 0^{- 5})

simplify log_{10}((7z)/(10))simplify

lo g_{10} (\frac{7 z}{10})

simplify ln((7y)/(5z))simplify

ln (\frac{7 y}{5 z})

Frequently Asked Questions (FAQ)

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