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Post-UTME Mathematics 2016 Objective — Question 45

Question 45 of 60 from the Post-UTME Screening (Post-UTME) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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Exponential & Logarithm 5. (log_x xy)(log_xy x^y) = ?

  • A. x
  • B. yCorrect
  • C. x^y
  • D. y^x

Explanation

Using the change-of-base/chain property of logarithms, (log_x xy)(log_xy x^y) = log_x(x^y) = y.

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