Problem 1[4+4+4+4=16 marks ] Provide a complete proof of the following statements from first principles (i.e., using the original definitions of order notation). All logarithms are base 2 logarithms: log=log2. You can use the fact that nlogn for n1 without proof. a) 6n6+20n4+2023=O(n7) b) n8=(n7logn) c) nlog2n+nlogn=(nlog2n) d) 23logn=(n2)