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WAEC Mathematics 2012 Objective — Question 32

Question 32 of 50 from the West African Examinations Council (WAEC) Mathematics 2012 Objective paper, with the correct answer and a full explanation.

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Which of these statements about y=8√m is correct?

  • A. log y = log8 × log√m
  • B. log y = 3log2 × ½logm
  • C. log y = 3log2 − ½logm
  • D. log y = 3log2 + ½logmCorrect

Explanation

y=8√m = 2³×m^(1/2). Taking log of both sides: log y = log2³ + logm^(1/2) = 3log2 + ½logm.

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