Step-by-step explanation:
[tex]11 {}^{x - 4} = 121 {}^{x} \\ 11 {?}^{x - 4} = 11 {}^{11x} \\ x - 4 = 11x \\ x - 11x = 4 \\ \\ - 10x = 4 \\ x = - 0.4[/tex]