Use the rule logb (xy)=logb x+logb y to find log2 (16⋅64) .(1 point)
Responses
10
10
16
16
4
4
log2 (16⋅64) = log2 16 + log2 64
Now, we know that 16 = 2^4 and 64 = 2^6
So, log2 16 + log2 64 = log2 (2^4) + log2 (2^6)
= 4log2 2 + 6log2 2
= 4 + 6
= 10
Therefore, log2 (16⋅64) = 10.
The correct response is 10.