Precalculus Examples

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

Step 1

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\log (x (x - 9))$

Step 2

Apply the distributive property.

$\log (x \cdot x + x \cdot - 9)$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $x$ by $x$ .

$\log (x^{2} + x \cdot - 9)$

Step 3.2

Move $- 9$ to the left of $x$ .

$\log (x^{2} - 9 x)$