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MATHEMATICS

JAMB 2014 - Question 9

Mathematics 2014 JAMB Past Questions - Question 9: Evaluate log2 8+log2 4

Evaluate log2 8+log2 4

A: 6

B: 3

C: 4

D: 5

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Correct Answer

Explanation

To evaluate log2?8+log2?4, we can use the properties of logarithms, specifically the product rule, which states that logb?(x)+logb?(y)=logb?(xy).So, log2?8+log2?4=log2?(8×4).8×4=32, so log?2(8×4)=log2?(8×4)=log2?32.Now, log?232means "to what power must 2 be raised to equal 32?" which is 2^5=32.Therefore, log?232=5So, log?28+log?24=5log2?8+log2?4=5.