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Logarithm Calculator

Logarithm Calculator

Calculate logarithms with different bases: common (log₁₀), natural (ln), and binary (log₂). Instant results for any positive number.

Calculate logarithms instantly with our free online logarithm calculator. Supports common log (base 10), natural log (ln), and binary log (base 2).

  1. Select logarithm type: log₁₀, ln, or log₂
  2. Enter any positive number
  3. View the result instantly
  4. Click copy to save the result
  • Three logarithm bases: log₁₀, ln, log₂
  • Real-time calculation as you type
  • High precision results
  • One-click copy to clipboard

What is a logarithm?

A logarithm answers the question: what power must we raise a base to get a number? For example, log₁₀(100) = 2 because 10² = 100.

What's the difference between log and ln?

log usually means log base 10 (common logarithm), while ln is the natural logarithm with base e (≈2.718).

log₁₀(x) = ?
-
n! = ?
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Calculation Steps
|x| = ?
-
0
round()
Nearest
-
floor()
Round Down
-
ceil()
Round Up
-
trunc()
Truncate
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mod
a mod b = ?
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Explanation
Enter any positive number to calculate
log₁₀ — Common logarithm (base 10)
ln — Natural logarithm (base e)
log₂ — Binary logarithm (base 2)
Want to learn more? Read documentation →
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