Log Calculator

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Results

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Understanding Logarithms

Basic Concepts

  • log_b(x) = y means b^y = x
  • ln(x) is natural log (base e)
  • log(x) is common log (base 10)
  • Domain: x 0, base 0, base ≠ 1

Log Properties

  • log(xy) = log(x) + log(y)
  • log(x/y) = log(x) - log(y)
  • log(x^n) = n·log(x)
  • log_b(x) = ln(x)/ln(b)

Applications

  • pH calculations
  • Earthquake magnitude
  • Sound intensity
  • Compound interest