Question

Between what two consecutive integers does log ₂ 75 lie?

a. 4 and 5
b. 5 and 6
c. 6 and 7
d. 7 and 8

Answer 1

Notice that

2⁶ = 64

2⁷ = 128

and

log₂(2⁶) = 6 log₂(2) = 6

log₂(2⁷) = 7 log₂(2) = 7

so log₂(75) lies between (c) 6 and 7.