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05-01-2021
Mathematics

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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

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LammettHash LammettHash

05-01-2021

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.

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