Question

How do you evaluate `log_2 4 - log_2 16`?

Answer 1

Since `4=2^2and 16=2^4` we can rewrite:

Explanation:

`=log_2 2^2-log_2 2^4`

Exponent rule:
`=2*log_2 2-4*log_2 2`

Since `log_b b=1` for any `b->log_2 2=1`
`=2*1-4*1=-2`