2026 IGCSE Additional Mathematics May/June 0606/12 Q9

2026 IGCSE Additional Mathematics May/June 0606/12 Q9

7 marks
  1. Write \(\dfrac1{\log_xe}-\ln(x-1)\) as a single logarithm to base \(e\).[2]
  2. Solve the equation \(2\log_5 2x=1+\log_5(9x-10)\).[5]

Solution:

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Answer:(a) \(\ln\left(\dfrac{x}{x-1}\right)\) (b) \(x=\dfrac54,\ 10\)

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