Simplify/Condense log base 3 of 9+ log base 3 of 27

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

Step 1

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

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

Step 2

Multiply $9$ by $27$ .

$\log_{3} (243)$

Step 3

Logarithm base $3$ of $243$ is $5$ .

$5$