Finding the domain of definition and value of function y = LG2 ^ x + 6lgx

Finding the domain of definition and value of function y = LG2 ^ x + 6lgx

I also think there is a problem with the title, isn't it x ^ 2

Given the function f (x) = | 2 ^ X-1 | x = 1, if ABC is not equal to each other and f (a) = f (b) = f (c), then the value range of 2 ^ A + 2 ^ B + 2 ^ C
The known function f (x) = | 2 ^ X-1 | x = 1
If ABC is not equal to each other and f (a) = f (b) = f (c), then the value range of 2 ^ A + 2 ^ B + 2 ^ C

From the function f (x) = | 2 ^ X-1 | x = 1, we know that f (x) decreases monotonically in X ∈ (- infinite, 0), the range (0,1) f (x) increases monotonically in X ∈ [0,1], and the range [0,1] f (x) decreases monotonically in X ∈ (1, + infinite). If there exists a, B, C, and f (a) = f (b) = f (c), then f (a)