Education & Math Tools

Logarithm Calculator

Enter a value and base to calculate the logarithm using the change-of-base formula.

log2(8) = 3

Uses the change-of-base formula: log_b(x) = ln(x) ÷ ln(b).

How to use this tool

  1. 1Enter the value.
  2. 2Enter the base.
  3. 3See the calculated logarithm.

Frequently asked questions

What is the change-of-base formula?+

log_b(x) = ln(x) ÷ ln(b) — it lets you compute a logarithm in any base using only natural log (or any other single log function).