State whether the following statements are true or false, and then carefully prove your answer using the formal definition of Big Oh notation. The properties of logarithms from lecture 1 will serve you well here. Remember, if you say a statement is false, you need to show a formal contradiction. (a) 2n+1 0(2) (b) 22" 0(2) (c) 3n2 log2 n +ne O(n) (d) 24 log2 8n10 O(log10 n)