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Understanding Logarithm Base 2

The logarithm base 2, often written as log₂(x) or lg(x), is the power to which the number 2 must be raised to obtain the value x. In simpler terms, it answers the question: "To what power must we raise 2 to get this number?".

Formula: If y = log₂(x), then 2^y = x.

Example: log₂(8) = 3, because 2³ = 8.

Use Cases: Log base 2 is fundamental in computer science, information theory, and digital electronics. It's used in analyzing algorithms (especially those involving binary search or divide and conquer), calculating information entropy, and in binary number systems.

For further reading, you can refer to resources like Wikipedia on Binary Logarithm and explore more math concepts on platforms like Khan Academy - Logarithms.