GCE Mathematics 1989 Question 1

Question 1

Logarithms

If 3 log a + 5 log a − 6 log a = log 64, what is a?

  1. A.4
  2. B.6
  3. C.8
  4. D.16
  5. E.32.
Show the answer and explanation

Answer: C (8)

Explanation

The left side is (3 + 5 − 6) log a = 2 log a = log a2. So a2 = 64 and a = 8.