Find the Domain

$\log (x)$

Step 1

Set the argument in $\log (x)$ 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

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$