Question

expand log a square b cube by c

Answer 1

The given expression is

$log( \frac{a ^2 b^3}{c})$

We have to use the following two log rules

$log(a*b) =log(a)+log(b) \\ log ( \frac{a}{b} )= log(a) -log(b)$

Using these rules, we will get

$log(a^2 b^3) -log(c) \\ = log(a^2)+log(b^3)-log(c) \\ = 2 log(a) +3 log(b)-log(c)$