Calculus Examples

$\ln (x - 7)$

Step 1

Set the argument in $\ln (x - 7)$ greater than $0$ to find where the expression is defined.

$x - 7 > 0$

Step 2

Add $7$ to both sides of the inequality.

$x > 7$

Step 3

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

Interval Notation:

$(7, \infty)$

Set-Builder Notation:

${x | x > 7}$

Step 4