Respuesta :

Answer:

x = - 3

Step-by-step explanation:

Solving

[tex](\frac{1}{2}) ^{x}[/tex] = 8

[tex](2^-1)^{x}[/tex] = 2³

[tex]2^{-x}[/tex] = 2³

Since the bases on both sides are equal equate the exponents

- x = 3 ( multiply both sides by - 1 )

x = - 3