The variables x and y satisfy the relation 3^y = 4^(2−x).
(i) By taking logarithms, show that the graph of y against x is a straight line. State the exact value of the gradient of this line. [3]
(ii) Calculate the exact x-coordinate of the point of intersection of this line with the line with equation y = 2x, simplifying your answer. [2]
Solutions:
Reference: PYQ - May/Jun 2016 Paper 33 Q2
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