Precalculus Examples

$\log_{8} (x) + \log_{8} (x - 3) - 2$

Step 1

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

$\log_{8} (x (x - 3)) - 2$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\log_{8} (x \cdot x + x \cdot - 3) - 2$

Step 2.2

Multiply $x$ by $x$ .

$\log_{8} (x^{2} + x \cdot - 3) - 2$

Step 2.3

Move $- 3$ to the left of $x$ .

$\log_{8} (x^{2} - 3 x) - 2$