How this calculation works
Calculate a logarithm using base 10, base e, base 2, or a custom positive base. The result is calculated locally in your browser from the visible inputs, and the method below remains available for checking.
log base b of x = ln(x) ÷ ln(b).
Worked example
log₁₀(1000) equals 3.
Assumptions and limits
- Inputs use the units shown beside each field.
- Intermediate values retain precision; displayed values are rounded for readability.
Questions people ask
How does the Logarithm Calculator work?
It applies this displayed method: log base b of x = ln(x) ÷ ln(b). Values stay in your browser and are not submitted to a server.
What should I check before using the Logarithm result?
Inputs use the units shown beside each field. Intermediate values retain precision; displayed values are rounded for readability. The result follows the displayed mathematical definition and the precision of the values entered.
Does this Logarithm calculator save my information?
No. Calculation inputs are processed on this device. Sharing creates a URL only when you choose the share action.