Evaluate 5-3log52 x 22log23 - JAMB Mathematics 2000 Question
Evaluate 5-3log52 x 22log23
A
8
B
11/8
C
2/5
D
1/8
correct option: b
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
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