Question: 2. (a) (i) Solve for x in the equation 3 =9. 27 [4 marks] (ii) By solving the equation below, or otherwise, show that base

the same axes, the graph of f- (x). f(x) =p 3- N

2. (a) (i) Solve for x in the equation 3 =9. 27 [4 marks] (ii) By solving the equation below, or otherwise, show that base a = 10. log 25 - log 0.025 = 3(b) The following diagram shows the graph of f(x) = e'. Sketch, on the same axes, the graph of f- (x). f(x) =p 3- N x 4 -3 -2 -1 1 2 -2- [3 marks] (c) An arithmetic progression has the first term 4 and common difference 3. Let I be the with term of the progression. Find the smallest value of n for which I, is greater than 103.(d) An infinite geometric series is defined by 4, 8 16 3 : 9 Evaluate the sum of all terms of this series.

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