Answer :
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