$F (x) = \log_{2}(x) - \log_{2^2}(x)gydF4y2Ba$ $+ \log_{2^3}(x) - \log_{2^4}(x) \dotsgydF4y2Ba$ $+ \log_{2^{99}}(x) - \log_{2^{100}}(x)gydF4y2Ba$

的价值是什么gydF4y2Ba $f (2 ^ {(2 ^ {100})}) - (2) f (2 ^ {(2 ^ {99})})gydF4y2Ba$ $+ (2 ^ 2) f(2 ^{(2 ^{98})})——(2 ^ 3)f(2 ^{(2 ^{97})}) \点gydF4y2Ba$ $+ (2^{98})f(2^{(2^{2})}) - (2^{99})f(2^{(2^{1})})gydF4y2Ba$?gydF4y2Ba