Algebra Examples

$\log_{4} (x) + \log_{4} (x - 3) = \log_{4} (- 7 x + 21)$

Step 1

Set the argument in $\log_{4} (x)$ greater than $0$ to find where the expression is defined.

$x > 0$

Step 2

Set the argument in $\log_{4} (x - 3)$ greater than $0$ to find where the expression is defined.

$x - 3 > 0$

Step 3

Add $3$ to both sides of the inequality.

$x > 3$

Step 4

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

Interval Notation:

$(3, \infty)$

Set-Builder Notation:

${x | x > 3}$

Step 5