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2026 GESS P1 Q9
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2026 GESS P1 Q9
Secondary 4
8 marks
Given that \(\ln(x^4y^2)=5+\ln y-\ln x\), where \(x\) and \(y\) are positive, express \(y\) in terms of \(x\).
[3]
Solve the equation \(\log_3\left(\dfrac{x+1}{x-1}\right)+2\log_9(x-1)=\dfrac4{\log_3(x+1)}\).
[5]
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Answer:
(a) \(y=\dfrac{e^5}{x^5}\). (b) \(x=8\).
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