2026 NORTHBROOKS P2 Q9

2026 NORTHBROOKS P2 Q9

Secondary 4
8 marks
  1. Solve the equation \(\log_9(25-10x)-\log_9 5=\log_3(1-x)\).[4]
  2. Show that the equation \(2\mathrm e^{2x+1}=\mathrm e^{x+1}+15\mathrm e\) has only one solution and find its value in exact form.[4]

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Answer:(a) \(x=-2\). (b) The unique solution is \(x=\ln3\).

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