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Evaluate 5-3log52 x 22log2

Evaluate 5-3log52 x 22log23

A.

8

B.

11/8

C.

2/5

D.

1/8

View answer & explanation

Correct answer is 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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