$\"\"$

The equation $\"\"$

Apply logarithm power property: $\"\"$ .

$\"\"$

Apply logarithm product property: $\"\"$ .

$\"\"$

Apply logarithm quotient property: $\"\"$ .

$\"\"$

Since $\"\"$ .

$\"\"$ .

Therefore, $\"\"$ as a function of $\"\"$ is $\"\"$ .

$\"\"$

$\"\"$ .