Given log2(a) + log2(2) + log3(1 + b^2)=...

Given `log_2(a) + log_2(2) + log_3(1 + b^2)=2 (a>1. b in R),c=log_10(2^log_2(3)......log_99(100)),d=log_10(2^log_2(3^log_3(4........log_99(100)` Then find the value of `(a+b+c+d)`.

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