Precalculus Examples

$\log_{b} (\sqrt[5]{2 - 3})$

Step 1

The logarithm of a negative number is undefined.

Undefined

Step 2

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 3