Precalculus Examples

$\log_{3} (5) + \log_{3} (7) + \log_{3} (x)$

Step 1

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

$\log_{3} (5 \cdot 7) + \log_{3} (x)$

Step 2

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

$\log_{3} (5 \cdot 7 x)$

Step 3

Multiply $5$ by $7$ .

$\log_{3} (35 x)$