Logarithm Calculator

Calculate log in any base, ln and log10.

Instant · runs in your browser
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About the Logarithm Calculator

Calculate log10, natural log (ln, base e) and logarithms in any base. A logarithm answers the question: to what power must the base be raised to get this number?

Formula

logb(x) = ln(x) ÷ ln(b). For example log2(64) = 6 because 26 = 64.

Used in chemistry (pH), sound (decibels), finance and computer science.

How to use Logarithm Calculator

  1. Enter your values. Units and defaults are shown beside each field.
  2. Press Calculate (results also update as you type once calculated).
  3. Read the result and the step-by-step breakdown with the formula used.
  4. Copy the result or reset to start again.

Frequently asked questions

How accurate is this calculator?

Calculations use the standard formulas shown on the page, computed in full precision and rounded only for display. The result is only as accurate as the inputs and assumptions listed.

Is it free?

Yes. All tools are free to use without an account.