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JAMB Mathematics 2006 Question 19

Question 19

Logarithms

Calculate the logarithm to base 9 of 3−4 × 92 × (81)−1.

  1. A.2
  2. B.0
  3. C.−2
  4. D.−4
Show the answer and explanation

Answer: C (−2)

Explanation

In powers of 9: 3−4 = 9−2 and 81−1 = 9−2, so the product is 9−2 + 2 − 2 = 9−2, whose log to base 9 is −2.