2025 Paradigm Sec 3 Mock EOY Q8

2025 Paradigm Sec 3 Mock EOY Q8

Secondary 3
11 marks

[Logarithm]

Solve the following equations.

  1. \(\log_3(3x+2)-2\log_3x=2\),[6]
  2. \(5\log_5y-2\log_y5=9\).[5]

Solution:

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Answer:(i) \(x=\dfrac23\); (ii) \(y=25\) or \(y=5^{-\dfrac15}\approx0.725\).

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