Write as a Single Logarithm log base 3 of a-( log base 3 of b+ log base 3 of c)

$\log_{3} (a) - (\log_{3} (b) + \log_{3} (c))$

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

$\log_{3} (a) - \log_{3} (b c)$

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

$\log_{3} (\frac{a}{b c})$