I have the following question:
Is the following statement true or false?
** All logs to base 2
log2n is a memeber of O(log(n))
log2n - clogn <= 0
log2 + logn - clogn <= 0 1 + logn(1-c) <= 0
Now correct me if I'm wrong, but I have to find values for n (variable) and c (constant) which either prove or disprove this...
Generally this seems to be true:
Choose n0 = 2, c = 3 -> TRUE n1 = 3, c = 3 -> TRUE n2 = 4, c = 3 -> TRUE
Therefore, the statement seems true, as logn is increases as n does. But there are also values for which the above statement will never hold:
Choose c = 1 evaluates to greater than zero regardless of the increasing value of n.
So I am confused as to whether this is true or false....