Question

What is `log_4(320) - log_4 5`?

Answer 1

3

Explanation:

`log(a)- log(b)=log(a/b)`, therefore:

`log_4(320)-log_4(5)=log_4(320/5)= log_4(64)=log_4(4^3)`

`log_a(a^b)=b`, therefore:

`log_4(4^3)=3`