2025 CGS PRELIMS P1 Q10

2025 CGS PRELIMS P1 Q10

Secondary 4
8 marks
2025 Crescent Girls' School Prelims A Math Paper 1

The solution of the equation \(3^{2x-1}=4\left(3^x\right)\) can be expressed as \(\dfrac{\ln p}{\ln q}\).

  1. Find the value of \(p\) and of \(q\).[4]
  2. Express the solution of \(\log_{16}(3y-1)+\dfrac{1}{2}=\log_4(3y)\) as a rational number.[4]

Solution:

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Answer:(a) \(p=12,\ q=3\) (b) \(y=\frac{2}{3}\)

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