Answer:
[tex] {100}^{1 - x} = {10}^{ - 4x} \\ {10}^{2(1 - x)} = {10}^{ - 4x} \\ {10}^{2 - 2x} = {10}^{ - 4x} \\ 2 - 2x = - 4x \\ 2 = - 4x + 2x \\ 2 = - 2x \\ x = - 1[/tex]
