Precalculus Examples

$\log_{3} (81 \cdot 27)$

Step 1

Rewrite $\log_{3} (81 \cdot 27)$ as $\log_{3} (81) + \log_{3} (27)$ .

$\log_{3} (81) + \log_{3} (27)$

Step 2

Logarithm base $3$ of $81$ is $4$ .

$4 + \log_{3} (27)$

Step 3

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

$4 + 3$

Step 4

Add $4$ and $3$ .

$7$