evaluate the problem

Answer:
-2
Step-by-step explanation:
I hope this helps!
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Isolate x by taking the log of each side:
[tex]\frac{1}{4}=2^x\\log_2(\frac{1}{4})=log_2(2^x)\\x=-2[/tex]
This works because:
[tex]2^{-2} =\frac{1}{2^{2}}=\frac{1}{4}[/tex]
If this helped, a brainliest would be greatly appreciated!