Simplify/Condense log base 3 of 6+ log base 3 of 4.5

$\log_{3} (6) + \log_{3} (4.5)$

Step 1

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

$\log_{3} (6 \cdot 4.5)$

Step 2

Multiply $6$ by $4.5$ .

$\log_{3} (27)$

Step 3

Log base $3$ of $27$ is approximately $3$ .

$3$