Use the rule logb (xy) = logb x+logb y to find log2 (16*64)

Question

10

16

4

Answer 1

First, we can rewrite the expression log2 (16*64) as log2 (16) + log2 (64).

Next, we simplify log2 (16) and log2 (64):
log2 (16) = log2 (2^4) = 4
log2 (64) = log2 (2^6) = 6

Now, we substitute these values back into our expression:
log2 (16*64) = log2 (16) + log2 (64) = 4 + 6 = 10

Therefore, log2 (16*64) = 10.