If f1(x)=2^(f2(x)) , where f2(x)=2012^...

If `f_1(x)=2^(f_2(x))` , where `f_2(x)=2012^(f_2(x))` ,where `f_3(x)=(1/20213)^(f_4(x))` ,where `f_4(x)=log_2013 log_x 2012`,= then the range of `f_1(x)` is (A) `(2,oo)` (B) `(2012,oo)` (C) `(0,oo)` (D) `(-oo,oo)`

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