Doubt that this topic should be an equal sign, not a negative sign! That is, there is no negative sign after the f(x) in the topic. The logic and problems of the negative sign topic are all wrong, but it should be an equal sign.

Let the whole function be f (x) = 2 x+λ * 2 x.

(1) λ=- 1 is substituted into f(x), and f(x)=0, so all zeros are real numbers;

(2) If f (x) is an even function, then f(x)=f(-x), and (1+λ) * 2x = (1+λ) * 2 (-x), and λ =-1;

(3) According to the meaning of the question, 1/2 ≤ (1+λ) * 2 x ≤ 4, and according to the value range of x, the solution is-1-log2 (1+λ) ≥ 0,2-log2 (6544).