Answer:
[tex] \dfrac{49}{4} = 12.25 [/tex]
Step-by-step explanation:
[tex] 4^{x-1} = [/tex]
[tex] = (2^2)^{x - 1} [/tex]
[tex] = 2^{2(x - 1)} [/tex]
[tex] = 2^{2x - 2} [/tex]
[tex] = 2^{x + x - 2} [/tex]
[tex] = 2^x \times 2^x \times 2^{-2} [/tex]
[tex] = 7 \times 7 \times \dfrac{1}{2^2} [/tex]
[tex] = \dfrac{49}{4} = 12.25 [/tex]