Log2 Calculator
Calculate base-2 logarithms instantly and view the equivalent exponential meaning.
Domain rule: x > 0. This computes log₂(x).
Result will appear here.
| Metric | Value |
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Privacy: calculations run locally in your browser. No values are stored or transmitted.
How it works
Base-2 logarithm:
log₂(x) = ln(x) / ln(2)
Equivalent meaning:
2ʸ = x where y = log₂(x)
Examples
- log₂(8) = 3
- log₂(16) = 4
- log₂(0.5) = -1
FAQ
- What is log base 2?
Log base 2 asks what exponent y makes 2^y equal to x.
- Why is log2 useful?
Base-2 logarithms are common in computer science, binary systems, algorithms, and information theory.
- Why must x be positive?
Real logarithms are defined only for positive x.
- Are calculations stored?
No. Everything runs locally in your browser.