Finite Math Examples

$8 \log (x + 3) - 9 \log (x)$

Step 1

Set the argument in $\log (x + 3)$ less than or equal to $0$ to find where the expression is undefined.

$x + 3 \leq 0$

Step 2

Subtract $3$ from both sides of the inequality.

$x \leq - 3$

Step 3

Set the argument in $\log (x)$ less than or equal to $0$ to find where the expression is undefined.

$x \leq 0$

Step 4

The equation is undefined where the denominator equals $0$ , the argument of a square root is less than $0$ , or the argument of a logarithm is less than or equal to $0$ .

$x \leq 0$

$(- \infty, 0]$

Step 5