f(2^x) = f(4^x + 2^(x+1) + 2) - f(4^x + 1)

[tommy1729]

Let f(x) be a non-constant real-analytic function and for real x it satisfies :

f(2^x) = f(4^x + 2^(x+1) + 2) - f(4^x + 1)

This should be solvable.

regards

tommy1729