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MATHEMATICS

JAMB 2000 - Question 11

Mathematics 2000 JAMB Past Questions - Question 11: Evaluate 5 -3log² X 2²log³

Evaluate 5 -3log² X 2²log³

A: 8

B: 1 ¹/8

C: 2/5

D: 1/8

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Correct Answer

Explanation

5-3log52 x 22log23i Let -3log52 = p => log52-3 = p∴2-3 = 5p∴5-3log52 = 5log52-3 = 5pii 22log23 = q => log532 = q∴32 = 2q∴222log23 = 2q= 32 = 9i x ii = 2-3 x 9 = 1/23 x 9= 1/8 x 9= 9/8 = 1 1/8