Question

4. The difference log2 (3) - log2 (12) is equal to

Answer 1

-2

Explanation:

`log_2(3)-log_2(12)`

~Simplify using log properties

`log_2((3)/(12))`

`log_2((1)/(4))`

~Apply log rules

`-log_2(4)`

~Rewrite

`-log_2(2^2)`

~Apply log rules

`-2log_2(2)`

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

Answer 2

Explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to log2 1 - log2 4 = 0 - 2 = -2