Answer:
[tex] {2}^{x} = 64[/tex]
Step-by-step explanation:
I am assuming that your equations are:
[tex]a) \: 4x - 7 = 12 \\ b) \: |x - 4| = 55 \\ c) \: {x}^{2} - 74 = 7 \\d) \: {2}^{x} = 64[/tex]
If these are actually your equations, then the one that doesn't belong or the odd one out is
[tex] {2}^{x} = 64[/tex]
The reason is that, all the other equations are algebraic.
The odd one is the only exponential equation.
Exponential functions are not algebraic, they are transcendental.