Linear Algebra Examples

$\log (x + 9) = 1 - \log (x)$

Step 1

Set the argument in $\log (x + 9)$ greater than $0$ to find where the expression is defined.

$x + 9 > 0$

Step 2

Subtract $9$ from both sides of the inequality.

$x > - 9$

Step 3

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

Interval Notation:

$(- 9, \infty)$

Set-Builder Notation:

${x | x > - 9}$

Step 4