2025 Beatty Sec 3 EOY Q2

2025 Beatty Sec 3 EOY Q2

Secondary 3
7 marks
  1. Given \(\log_m a=x\) and \(\log_m b=y\), express \(\log_{ab}m\) in terms of \(x\) and \(y\).[3]
  2. Without using a calculator, evaluate \(\log_2 3-\log_4 36+\log_{\dfrac12}8\).[4]

Solution:

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Answer:(a) \(\dfrac1{x+y}\); (b) \(-4\).

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