JAMB Mathematics 1993 Question 6

Question 6

Logarithms

If 2 log3y + log3x2 = 4, then y is

  1. A.(4 − log3x2)/2
  2. B.4/log3x2
  3. C.2/x
  4. D.9/x
Show the answer and explanation

Answer: D (9/x)

Explanation

2 log3y + log3x² = log3(x²y²) = 4, so x²y² = 34 = 81. Then xy = 9 and y = 9/x.