Question

expand the logarithm fully using the properties of logs. express the final answer in log $y$.
$log \frac{x^{2}}{y^{5}}$

Explanation:

Step1: Apply log quotient rule

$\log \frac{x^2}{y^5} = \log x^2 - \log y^5$

Step2: Apply log power rule to each term

$\log x^2 - \log y^5 = 2\log x - 5\log y$

Answer:

$2\log x - 5\log y$