Answer :
Answer
x = 0
Explanation
[tex]\begin{gathered} (\frac{1}{4})^{x-2}=16 \\ 4^{-1(x-2)}=4^2 \\ 4^{-x-2}=4^2 \\ \text{Equate both sides of the equation} \\ -x+2=2 \\ -x=2-2 \\ -x=0 \\ x=0 \end{gathered}[/tex]Answer
x = 0
Explanation
[tex]\begin{gathered} (\frac{1}{4})^{x-2}=16 \\ 4^{-1(x-2)}=4^2 \\ 4^{-x-2}=4^2 \\ \text{Equate both sides of the equation} \\ -x+2=2 \\ -x=2-2 \\ -x=0 \\ x=0 \end{gathered}[/tex]