Precalculus Examples

$\log (x - 5)$

Step 1

Set the argument in $\log (x - 5)$ greater than $0$ to find where the expression is defined.

$x - 5 > 0$

Step 2

Add $5$ to both sides of the inequality.

$x > 5$

Step 3

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

Interval Notation:

$(5, \infty)$

Set-Builder Notation:

${x | x > 5}$

Step 4