Simplify/Condense log base 6 of 496.8- log base 6 of 2.3

$\log_{6} (496.8) - \log_{6} (2.3)$

Step 1

Use the quotient property of logarithms, $\log_{b} (x) - \log_{b} (y) = \log_{b} (\frac{x}{y})$ .

$\log_{6} (\frac{496.8}{2.3})$

Step 2

Divide $496.8$ by $2.3$ .

$\log_{6} (216)$

Step 3

Logarithm base $6$ of $216$ is $3$ .

$3$