quotient property:$log_{b}\frac{x}{y} = log_{b}x - log_{b}y$expand $log_{w}\frac{x}{z}$.$log x - log…
quotient property:$log_{b}\frac{x}{y} = log_{b}x - log_{b}y$expand $log_{w}\frac{x}{z}$.$log x - log z$$log_{w}x - log_{w}z$
Answer
Explanation:
Step1: Recall logarithm quotient rule
The quotient property states $\log_b \frac{x}{y} = \log_b x - \log_b y$
Step2: Apply rule to given expression
Substitute $b = w$, $x = x$, $y = z$ into the rule: $\log_w \frac{x}{z} = \log_w x - \log_w z$
Answer:
$\log_w x - \log_w z$