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Logarithm Calculator

Calculate common logarithms, natural logarithms, and more

로그 공식

  • log(xy) = log(x) + log(y)
  • log(x/y) = log(x) - log(y)
  • log(xⁿ) = n·log(x)
  • log꜀(x) = log(x) / log(c)
  • log(1) = 0
  • log꜀(c) = 1

📖 How to Use

  1. Select the log type
  2. Enter the value
  3. Check the result

✨ Features

  • ✓log₁₀, ln, log₂ support
  • ✓Custom base
  • ✓Log formula reference

📐 Formula

logₐb = c → aᶜ = b

💡 How It Works

  • •Logarithm is the inverse of exponentiation. 'How many times must a be multiplied to get b?'
  • •Common log (log): Base 10. log100 = 2 (∵ 10² = 100)
  • •Natural log (ln): Base e≈2.718. Used in calculus and natural phenomena.
  • •Change of base: logₐb = logc(b) / logc(a)
  • •Log rules: log(ab) = log(a) + log(b), log(a/b) = log(a) - log(b), log(aⁿ) = n·log(a)

❓ FAQ

Q. What's the difference between ln and log?

A. ln is natural log (base e≈2.718), log is usually common log (base 10).

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