Precalculus Examples

$\log_{3} (4) + \log_{3} (6) + \log_{3} (x - 3)$

Step 1

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

$\log_{3} (4 \cdot 6) + \log_{3} (x - 3)$

Step 2

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

$\log_{3} (4 \cdot 6 (x - 3))$

Step 3

Multiply $4$ by $6$ .

$\log_{3} (24 (x - 3))$

Step 4

Apply the distributive property.

$\log_{3} (24 x + 24 \cdot - 3)$

Step 5

Multiply $24$ by $- 3$ .

$\log_{3} (24 x - 72)$