Write as a Single Logarithm log base 7 of x+ log base 7 of y- log base 7 of z

$\log_{7} (x) + \log_{7} (y) - \log_{7} (z)$

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

$\log_{7} (x y) - \log_{7} (z)$

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

$\log_{7} (\frac{x y}{z})$