Mathematics

Evaluate 5-3log52 x 22log23

Evaluate 5-3log52 x 22log23
  • A.
    8
  • B.
    11/8
  • C.2/5
  • D.1/8
Correct Answer: Option B
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 = 11/8