Write as a Single Logarithm log base b of x-( log base b of y+ log base b of z)

$\log_{b} (x) - (\log_{b} (y) + \log_{b} (z))$

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

$\log_{b} (x) - \log_{b} (y z)$

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

$\log_{b} (\frac{x}{y z})$