en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((x^2-1)/(x-3))

Solution

simplify

ln (\frac{x ^{2} - 1}{x - 3})

Solution

ln (x^{2} - 1) - ln (x - 3)

Solution steps

ln (\frac{x ^{2} - 1}{x - 3})

Apply log rule:

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

ln (\frac{x ^{2} - 1}{x - 3}) = ln (x^{2} - 1) - ln (x - 3)

= ln (x^{2} - 1) - ln (x - 3)

Popular Examples

simplify 1/2-1/3 (ln(2)-ln(8)-ln(1)+ln(5))simplify

\frac{1}{2} - \frac{1}{3} (ln (2) - ln (8) - ln (1) + ln (5))

simplify ln(x)-ln(y)+1 simplify

ln (x) - ln (y) + 1

simplify 8log_{10}(x)-1/2 log_{10}(y)simplify

8 lo g_{10} (x) - \frac{1}{2} lo g_{10} (y)

simplify-2.48ln((0.67)/(1.33))simplify

- 2.48 ln (\frac{0.67}{1.33})

simplify ln((u-a)/(u+a))simplify

ln (\frac{u - a}{u + a})

Frequently Asked Questions (FAQ)

What is ln((x^2-1)/(x-3)) ?
The solution to ln((x^2-1)/(x-3)) is ln(x^2-1)-ln(x-3)