Logarithm Calculator — log₁₀, ln, log₂
Quick answer: Enter a number to get log₁₀, ln, log₂, and any custom base logarithm.
Calculate logarithms in any base: log base 10 (common log), natural log (ln, base e), log base 2, and any custom base. The logarithm answers: "to what power must the base be raised to get this number?"
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Last reviewed: April 2026Report an error
log₁₀
2.0000
log₁₀(100) = 2.0000, ln(100) = 4.6052.
log₁₀
2.0000
ln (natural)
4.6052
log₂
6.6439
log base 10
2.0000
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How to Use This Log Calculator Calculator
- 1Enter the value you want to take the log of (must be positive).
- 2Optionally enter a custom base for logₐ(x).
- 3Read log₁₀, ln, log₂, and the custom base result.
Frequently Asked Questions
- log (or log₁₀) uses base 10: log(1000) = 3. ln is the natural log using base e ≈ 2.718: ln(e²) = 2. ln is fundamental in calculus; log₁₀ is common in engineering and pH.
- log₂ is used in computer science for binary operations, information theory (bits), complexity analysis (O(log n) algorithms), and data compression.
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