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Evaluate 5-\(^{3log_52}\) x 2\(^{2log_23}\)

Mathematics
JAMB 2000

Evaluate 5-\(^{3log_52}\) x 2\(^{2log_23}\)

  • A. 8
  • B. 11/8
  • C. 2/5
  • D. 1/8
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Correct Answer: Option B
Explanation

5-3log52 x 22log23
i Let -3log52 = p => log52-3 = p
∴2-3 = 5p
∴5-3log52 = 5log52-3 = 5p
ii 22log23 = q => log532 = q
∴32 = 2q
∴222log23 = 2q
= 32 = 9
i x ii = 2-3 x 9 = 1/23 x 9
= 1/8 x 9
= 9/8 = 11/8

There is an explanation video available below.


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Explanation Video

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