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Academics – Mathematics : 2011/JUL/04

Question

Q4. (a) Calculate the value of n that satisfies the following equation: (6)

2^n-1/n) = 3^1/n

(b) Solve the following system of equations for x and y, giving x and y correct to 3 decimal places: (6)

2ln x + 3ln y = 8.1

5ln x - 12ln y = -6.5

4/(6+e^x ) = 0.2

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