2024 FMSS PRELIMS P2 Q1

2024 FMSS PRELIMS P2 Q1

4 marks

Show that the equation \(2(\mathrm{e}^x - 3) = \mathrm{e}^{\frac{1}{2}x}\) has only one solution and find this value correct to \(3\) significant figures.[4]

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Answer:\(x=2\ln2\approx1.39\)

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