The equation is:
[tex]2x-4=3^{-x}+1[/tex]Now we can evaluate the posible values of x so:
for x=2.5
[tex]2(2.5)-4=3^{-2.5}+1[/tex]so now we operate:
[tex]\begin{gathered} 5-4=0.06+1 \\ 1=0.06+1 \\ 0\approx0.06 \end{gathered}[/tex]For x=1
[tex]2(1)-4=3^{-1}+1[/tex]Now we operate:
[tex]\begin{gathered} 2-4=0.33+1 \\ -2\ne1.33 \end{gathered}[/tex]for x=2
[tex]\begin{gathered} 2(2)-4=3^{-2}+1 \\ 4-4=0.11+1 \\ 0\ne1.11 \end{gathered}[/tex]and for x=3.25
[tex]\begin{gathered} 2(3.25)-4=3^{-3.25}+1 \\ 6.5-4=0.02+1 \\ 2.5\ne1.02 \end{gathered}[/tex]So the clousest one is the option A
