Question

Помогите решить, пожалуйста!!

Answer 1

1)

$( {8}^{ - 1} ) ^{x - 4} = ( {8}^{2})^{2 {x}^{2} + 2} \\ {8}^{ - x + 4} = {8}^{4 {x}^{2} + 4 } \\ - x + 4 = 4 {x}^{2} + 4 \\ - 4 {x}^{2} - x + 4 - 4 = 0 \\ 4 {x}^{2} + x = 0 \\ x 1= 0 \\ 4x2 + 1 = 0 \\ 4x2 = - 1 \\ x2 = - \frac{1}{4}$