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OAU Post-UTME Mathematics 2021 (Batch B) Question 1

Question 1

Logarithms

What is the value of (x + y) in the equations log3x = y = log9(2x − 1)?

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

Answer: B (1)

Explanation

x = 3y and 2x − 1 = 9y = (3y)2 = x2. So x2 − 2x + 1 = 0, x = 1, and y = log31 = 0. x + y = 1.