Precalculus Examples

$\ln (x - 2)$

Step 1

Set the argument in $\ln (x - 2)$ greater than $0$ to find where the expression is defined.

$x - 2 > 0$

Step 2

Add $2$ to both sides of the inequality.

$x > 2$

Step 3

The domain is all values of $x$ that make the expression defined.

Interval Notation:

$(2, \infty)$

Set-Builder Notation:

${x | x > 2}$

Step 4