Expand the Logarithmic Expression log base b of x/(yz)

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

Rewrite $\log_{b} (\frac{x}{y z})$ as $\log_{b} (x) - \log_{b} (y z)$ .

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

Rewrite $\log_{b} (y z)$ as $\log_{b} (y) + \log_{b} (z)$ .

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

Apply the distributive property.

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