Find the sum of all nonnegative integers nnn such that 16+2(n1)+4(n2)+⋯+2n(nn)=83n.16+2\binom n1+4\binom n2+\cdots+2^n\binom nn=8\sqrt{3^n}.16+2(1n)+4(2n)+⋯+2n(nn)=83n. A888B222C2log352\log_3 52log35D2log3152\log_3 152log315E000