2024 IGCSE Additional Mathematics May/June 0606/11 Q3

2024 IGCSE Additional Mathematics May/June 0606/11 Q3

9 marks
  1. Write \(1+\lg(x^2-1)-2\lg(x-1)\), where \(x>1\), as a single logarithm to base \(10\). Give your answer in its simplest form.[4]
  2. Solve the equation \(4\log_5(x+1)=9\log_{(x+1)}5\), giving your answers in the form \(a+b\sqrt c\), where \(a\), \(b\) and \(c\) are constants.[5]

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(a) \(\lg\!\left(\dfrac{10(x+1)}{x-1}\right)\). (b) \(x=-1+5\sqrt5\) or \(-1+\dfrac{\sqrt5}{25}\).

Need help? Join our JC Math tuition classes.

Learn more