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Sum of All Real 'x'

  • Thread starter ritwik06
  • Start date
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1. Homework Statement

Find the sum of all real x such that

((2^x)-4)^3 + ((4^x)-2)^3=((4^x)+(2^3)-6)^3


2. Homework 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.
 

Answers and Replies

HallsofIvy
Science Advisor
Homework Helper
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It is also true that a^3+ b^3= (a+ b)(a^2- ab+ b^2).
 

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