Logarithm Calculator
Result
Formula: log_base(value) = ln(value) / ln(base).
Worked example: log₁₀(1000) = 3; log₂(32) = 5.
Primary source: OpenStax College Algebra, section on logarithmic functions. The linked text describes the mathematical definition or method used.
How to use this tool
Enter the numbers and choose Calculate to compute logarithm. Results are calculated in this browser.
Frequently asked questions
What does this calculator compute?
Free log calculator: find the logarithm of a positive number in base 10, base e or any base you enter. Shows the change-of-base formula and an example.
Where do the inputs go?
The calculation runs in this browser; the page does not submit the entered values.
What formula is used?
The result displays the formula used: log_base(value) = ln(value) / ln(base).