fully expand $logleft(\frac{xy}{z}\right)$\noptions:\n1. $log(x) + log(y) - log(z)$\n2. $(xy)\\log(z)$\n3…
fully expand $logleft(\frac{xy}{z}\right)$\noptions:\n1. $log(x) + log(y) - log(z)$\n2. $(xy)\\log(z)$\n3. $log(x) - log(y) + log(z)$\n4. $log(xy) - log(z)$
Answer
Explanation:
Step1: Apply log quotient rule
$\log\left(\frac{xy}{z}\right) = \log(xy) - \log(z)$
Step2: Apply log product rule
$\log(xy) - \log(z) = \log(x) + \log(y) - \log(z)$
Answer:
$\log(x) + \log(y) - \log(z)$ $\log(xy) - \log(z)$