1. The problem statement, all variables and given/known data Find the sum of all real x such that ((2^x)-4)^3 + ((4^x)-2)^3=((4^x)+(2^3)-6)^3 2. Relevant equations Nil 3. The attempt at a solution (a-b)^3+3ab(a-b)=a^3-b^3 This equation doesnt help as the LHS is a sum of two cubes. Is it wise to convert all fours and sixes as multiples of 2??? Please help me to get a start at least.