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GCE Mathematics 1989 Question 46

Question 46

Logarithms

Given that log p = 2 log x + 3 log q, which of the following expresses p in terms of x and q?

  1. A.p = 5xq
  2. B.p = 6xq
  3. C.p = x2 + q3
  4. D.p = 2x + 3q
  5. E.p = x2q3
Show the answer and explanation

Answer: E (p = x2q3)

Explanation

2 log x + 3 log q = log x2 + log q3 = log(x2q3), so p = x2q3.