Calculus Examples

$\log_{2} (x + 6)$

Step 1

Set the argument in $\log_{2} (x + 6)$ greater than $0$ to find where the expression is defined.

$x + 6 > 0$

Step 2

Subtract $6$ from both sides of the inequality.

$x > - 6$

Step 3

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

Interval Notation:

$(- 6, \infty)$

Set-Builder Notation:

${x | x > - 6}$

Step 4