2025 IGCSE Additional Mathematics October/November 0606/12 Q5

2025 IGCSE Additional Mathematics October/November 0606/12 Q5

7 marks
  1. Write \(5\lg a-4\lg b-3\) as a single base 10 logarithm.[3]
  2. Solve the equation \(\log_5(x+1)-\log_{(x+1)}5=0\).[4]

Solution:

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Answer:(a) \(\lg\left(\dfrac{a^5}{1000b^4}\right)\) (b) \(x=4,-\dfrac45\)

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