Question

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

Explanation:

Step1: Apply product rule of logs

$\log(x^2y^5) = \log(x^2) + \log(y^5)$

Step2: Apply power rule of logs

$\log(x^2) + \log(y^5) = 2\log x + 5\log y$

Answer:

$2\log x + 5\log y$