2024 IGCSE Additional Mathematics February/March 0606/12 Q2

2024 IGCSE Additional Mathematics February/March 0606/12 Q2

7 marks
  1. Given that \(\log_p a+\log_p12-\log_p6=3\log_p4\), find the value of \(a\).[3]
  2. Find the exact solutions of the equation \(4\log_3x=9\log_x3\).[4]

Solution:

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Answer:(a) \(a=32\) (b) \(x=3\sqrt3\) or \(x=\dfrac{\sqrt3}{9}\)

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