What is the domain of ln(((x-1))/(x^2-4)) ?

The domain of ln(((x-1))/(x^2-4)) is -2 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of ln(((x-1))/(x^2-4))

domain

ln (\frac{( x - 1 )}{x ^{2} - 4})

- 2 < x < 1 or x > 2

Interval Notation

(- 2, 1) \cup (2, \infty)

Solution steps

Find positive values for logs:

- 2 < x < 1 or x > 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 1 or x > 2

What is the domain of ln(((x-1))/(x^2-4)) ?
The domain of ln(((x-1))/(x^2-4)) is -2<x<1\lor x>2