Simplify/Condense log base 6 of 9+ log base 6 of 4

$\log_{6} (9) + \log_{6} (4)$

Step 1

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

$\log_{6} (9 \cdot 4)$

Step 2

Multiply $9$ by $4$ .

$\log_{6} (36)$

Step 3

Logarithm base $6$ of $36$ is $2$ .

$2$