Precalculus Examples

$\log_{3} (9 \cdot 27)$

Step 1

Rewrite $\log_{3} (9 \cdot 27)$ as $\log_{3} (9) + \log_{3} (27)$ .

$\log_{3} (9) + \log_{3} (27)$

Step 2

Logarithm base $3$ of $9$ is $2$ .

$2 + \log_{3} (27)$

Step 3

Logarithm base $3$ of $27$ is $3$ .

$2 + 3$

Step 4

Add $2$ and $3$ .

$5$