Precalculus Examples

$f (x) = \log_{2} (x - 8)$

Step 1

Set the argument in $\log_{2} (x - 8)$ greater than $0$ to find where the expression is defined.

$x - 8 > 0$

Step 2

Add $8$ to both sides of the inequality.

$x > 8$

Step 3

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

Interval Notation:

$(8, \infty)$

Set-Builder Notation:

${x | x > 8}$

Step 4