The values of 'a' for which `4^x-(a-4) 2^x+(9a)/4<0 AAx in(1,2)` is

Explanation

`because x in` (2, 4).
So , we have to find the values of a which `f(x) = x^(2) - (a - 4) x + (9//4) alt 0` for all x `in (2, 4)`
Since coefficient of `x^(2)` is positive, graph of `f(x) is concave upward.
So, for given condition,
`f(2) lt 0 and f(4) lto`
`because 4- (a-4)2+(9//4)a lt 0 and 16- (a-4)4 + (9//4)a lt0`
`because a lt - 48 and a gt 128//7`
Clealy , no common value of a exists.
Hence , no such a exists.