Precalculus Examples

$\log_{5} (x)$

Step 1

Set the argument in $\log_{5} (x)$ less than or equal to $0$ to find where the expression is undefined.

$x \leq 0$

Step 2

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x \leq 0$

$(- \infty, 0]$

Step 3