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HomemathLogarithm Calculator

Logarithm Calculator

Calculate logarithms of any base — common log (base 10), natural log (ln), or custom base logarithms.

How to Use the Logarithm Calculator

  1. 1

    Enter the number

    Input the number you want to find the logarithm of.

  2. 2

    Select the base

    Choose base 10 (log), base e (ln), base 2, or enter a custom base.

  3. 3

    View the result

    See the logarithm value calculated instantly.

💡 Tips & Tricks

  • log₁₀ is useful for orders of magnitude (Richter scale, decibels, pH).
  • ln is the "natural" choice for calculus and continuous growth problems.
  • Change of base formula: log_b(x) = log(x) / log(b) for any base.

Frequently Asked Questions