Question

use the properties of logarithms to expand $log(yx^{9}).$
each logarithm should involve only one variable and should not have any exponents or fractions.
assume that all variables are positive.
$log(yx^{9})=\square$

Explanation:

Step1: Apply product rule of logs

$\log(yx^9) = \log(y) + \log(x^9)$

Step2: Apply power rule of logs

$\log(y) + 9\log(x)$

Answer:

$\log(y) + 9\log(x)$