Precalculus Examples

$\log_{3} (x) = \frac{\ln (x)}{\ln (3)}$

Step 1

Set the argument in $\log_{3} (x)$ greater than $0$ to find where the expression is defined.

$x > 0$

Step 2

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

Interval Notation:

$(0, \infty)$

Set-Builder Notation:

${x | x > 0}$

Step 3