Find the Domain f(x) = natural log of x-4

$f (x) = \ln (x - 4)$

Step 1

Set the argument in $\ln (x - 4)$ greater than $0$ to find where the expression is defined.

$x - 4 > 0$

Step 2

Add $4$ to both sides of the inequality.

$x > 4$

Step 3

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

Interval Notation:

$(4, \infty)$

Set-Builder Notation:

${x | x > 4}$

Step 4