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Hi everyone, this is gkcs! We are taking about why log appears many times in complexity analysis. So if youamp;#39;re just starting off and maybe you came up with binary search. You see binary search. And you see the order complexity for this algorithm is order logN. For the range 0 to N. So this is actually a very interesting result and we will get to this. But logN is something that we should look at. The next thing is sorting algorithms. For example, merge sort. Time complexity for this is O(n*log(n)). And again, interestingly, a wild log(n) appears. Why is this? Well log(n) has an interesting property. In fact, some interesting things have log(n) as their property. So if I write down a number: let us say 29173. Right now what Iamp;#39;m doing is Iamp;#39;m keeping some information in this number implicit. When Iamp;#39;m coming to a human being, 29173 something. But letamp;#39;s make that explicit. What this is, is 2*10^4 + 9^10^3 + 1*10^2 + 7*10^1 + 3*10^0. So the implicit in