a. i. Sketch the graph of y = e x 5, showing the exact coordinates of

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a. i. Sketch the graph of y = ex – 5, showing the exact coordinates of any points where the graph meets the coordinate axes.

ii. Find the range of values of k for which the equation ex – 5 = k has no solutions.

b. Simplify loga √2 + loga 8 + loga (1/2), giving your answer in the form P loga 2, where P is a constant.

c. Solve the equation log3 x – log9 4x = 1.

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