Respuesta :
Answer: The correct option is D, i.e., -2x=5.
Explanation:
The given equation is,
[tex](\frac{1}{2} )^{2x}=32[/tex]
[tex](\frac{1}{2} )^{2x}=2^5[/tex]
Using the exponent rule [tex](\frac{1}{a}) ^b=a^{-b}[/tex], the above equation can be written as,
[tex]2^{-2x}=2^5[/tex]
On comparing both sides we get the base is same so power must be equal.
[tex]-2x=5[/tex]
Therefore the required equation is -2x=5 and option D is correct.
