For f(x) = log₂x, between which two integers does f(40) lie? Explain.

Rui Baldwin

Rui Baldwin

Answered question

2020-11-10

For f(x)=log2x between which two integers does f(40) lie? Explain.

Answer & Explanation

Tasneem Almond

Tasneem Almond

Skilled2020-11-11Added 91 answers

f(x) in this case is the exponent you need to raise 2 so that the answer is xx. Since 40 is between 32 and 64 (both powers of 2), then:
32<40<64
25<2f(40)<26
5 So, f(40) is between 5 and 6.

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