a Rewrite the equation (4^x-1)²-6(4^x-1) + 8 = 0 in the form y² + by + c = 0, where y = 4^x-1 and b and c are constants to be found.
(1 mark)
b Factorise your equation from part a and hence, or otherwise, solve for x. You must show each step of your working.
(3 marks)