Precalculus Examples

$\log_{3} (28)$

Step 1

Rewrite $\log_{3} (28)$ as $\log_{3} (2^{2} \cdot 7)$ .

$\log_{3} (2^{2} \cdot 7)$

Step 2

Rewrite $\log_{3} (2^{2} \cdot 7)$ as $\log_{3} (2^{2}) + \log_{3} (7)$ .

$\log_{3} (2^{2}) + \log_{3} (7)$

Step 3

Expand $\log_{3} (2^{2})$ by moving $2$ outside the logarithm.

$2 \log_{3} (2) + \log_{3} (7)$