Answer:
[tex]x=-1/2[/tex]
Step-by-step explanation:
[tex]4^x=1/2[/tex]
Make the bases 2 on both sides of the equation.
[tex]2^{2^x}=2^{-1}[/tex]
Multiply the exponents.
[tex]2^{2x}=2^{-1}[/tex]
Cancel the bases.
[tex]2x=-1[/tex]
Divide 2 into both sides of the equation.
[tex]x=-1/2[/tex]
