Given that the value range of x-3 * 2x + 3 of function y = 4 is [7,43], try to determine the value range of X It should be known that the value range of X + 3 of x-3 * 2 of function y = 4 is [7,43]. Try to determine the value range of X. Sorry

Given that the value range of x-3 * 2x + 3 of function y = 4 is [7,43], try to determine the value range of X It should be known that the value range of X + 3 of x-3 * 2 of function y = 4 is [7,43]. Try to determine the value range of X. Sorry

Let 2 ^ x = t, y = 4 ^ x-3 * 2 ^ x + 3 = T ^ 2-3T + 3, t > 0
The range is [7,43], 7 ≤ T ^ 2-3T + 3 ≤ 43, and the solution is 4 ≤ t ≤ 8
4≤2^x≤8,2≤x≤3