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in this video well be going over how to visualize and understand the meaning of o log in when diagnosing time complexity please be sure to stick around until the end of the video for a surprise trick on how to quickly diagnose the time complexity of a function and without any further delay lets get started to understand what is meant when we say that an algorithm has a complexity of o log n we must first understand what a logarithm is simply put a logarithm is the power that a number needs to be raised to to get some other number i know that doesnt make much sense out of context but dont worry ive got you covered lets take the number 8 into consideration so we want to raise some number to some power to get eight in computer science unless specified otherwise we can always assume that the number that we want to raise to some power is two so lets rewrite this so we want to raise two to some power to get eight so this same equation can be written like this or this two here is call