Expand the Logarithmic Expression log base 6 of 10/3

$\log_{6} (\frac{10}{3})$

Rewrite $\log_{6} (\frac{10}{3})$ as $\log_{6} (10) - \log_{6} (3)$ .

$\log_{6} (10) - \log_{6} (3)$

Simplify each term.

Rewrite $\log_{6} (10)$ as $\log_{6} (2 (5))$ .

$\log_{6} (2 (5)) - \log_{6} (3)$

Rewrite $\log_{6} (2 (5))$ as $\log_{6} (2) + \log_{6} (5)$ .

$\log_{6} (2) + \log_{6} (5) - \log_{6} (3)$