2000
Mathematics
67ca00ce0c643c71d77dee1f
Evaluate 5-3log52 x 22log23
A.
8
B.
1(1/8)
C.
2/5
D.
1/8
Correct Answer: 1(1/8)
Explanation
5-3log52 x 22log23 i Let -3log52 = p => log52-3 = p ∴2-3 = 5-p ∴5-3log52 = 5log52-3 = 5-p ii 22 22log23 = q => log532 = q ∴32 = 2q ∴22 22log23 = 2q = 32 = 9 i x ii = 2-3 x 9 = (1/2)3 x 9 = 1/8 x 9 = 9/8 = 1(1/8)
5-3log52 x 22log23 i Let -3log52 = p => log52-3 = p ∴2-3 = 5-p ∴5-3log52 = 5log52-3 = 5-p ii 22 22log23 = q => log532 = q ∴32 = 2q ∴22 22log23 = 2q = 32 = 9 i x ii = 2-3 x 9 = (1/2)3 x 9 = 1/8 x 9 = 9/8 = 1(1/8)THIS WEEK's
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