# Logarithmic Complexity - O(log(n))

The size of the input gets split into half with each iteration of the function. (Reading time: under 2 minutes)

If an algorithm has logarithmic time complexity, it means that the size of the input we are considering gets split into half with each iteration. Let’s say that we have a function that takes 1 second to execute if the input size is 100. With a logarithmic runtime, it would then take 2 seconds if the input size is 1000, and 3 seconds if the input size is 10,000. The bigger the input size gets, the smaller the difference in runtime!

Consider the following array:

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