What is log2 of 2147395599?

The Log base 2, often written as log₂(x) or lg(x), of a number x is the power to which the number 2 must be raised to obtain x.

To find the log₂ of 2147395599, we need to find the value of 'y' such that 2^y = 2147395599.

Since 2147395599 is close to 2³¹ (which is 2147483648), the log₂ value will be approximately 31.

Using a calculator or programming language to calculate the precise value:

In Python:

import math
x = 2147395599
result = math.log2(x)
print(result)

The result will be approximately 31.000001814. Therefore, the Log base 2 of 2147395599 is approximately 31.00.

In the Context of IT, this operation is often used to determine the number of bits required to represent a certain number or the depth of a binary tree.

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