Solve for x over the real numbers:
725 2^(2-x) = 5.66
5.66 = 283/50:
725 2^(2-x) = 283/50
Divide both sides by 725:
2^(2-x) = 283/36250
Take reciporicals of both sides:
2^(x-2) = 36250/283
Take the logarithm base 2 of both sides:
x-2 = (log(36250/283))/(log(2))
Add 2 to both sides:
Answer: | x = 2+(log(36250/283))/(log(2))=~9