Trigonometry Examples

$\log_{b} (64) = 3$

Step 1

Set the base in $\log_{b} (64)$ greater than $0$ to find where the expression is defined.

$b > 0$

Step 2

Set the base in $\log_{b} (64)$ equal to $1$ to find where the expression is undefined.

$b = 1$

Step 3

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

Interval Notation:

$(0, 1) \cup (1, \infty)$

Set-Builder Notation:

${b | b > 0, b \neq 1}$

Step 4