Precalculus Examples

$\log_{6} (x - 6)$

Step 1

Set the argument in $\log_{6} (x - 6)$ greater than $0$ to find where the expression is defined.

$x - 6 > 0$

Step 2

Add $6$ to both sides of the inequality.

$x > 6$

Step 3

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

Interval Notation:

$(6, \infty)$

Set-Builder Notation:

${x | x > 6}$

Step 4