Logarithm Calculator
Calculate logarithms to any base, with ln, log₁₀ and log₂. The result updates as you type, with the working underneath so you can check it.
Your details
Result
log base 10 of 1,000
3
- Natural log (ln)
- 6.907755279
- Common log (log₁₀)
- 3
- Binary log (log₂)
- 9.965784285
Good to know: log_b(x) = ln x ÷ ln b
About this tool
Formula
log_b(x) = ln x ÷ ln b
Questions people ask
What is a logarithm?
The power you raise the base to in order to get the number. log₁₀(1000) = 3 because 10³ = 1000.
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How we calculate this
We use the standard published formula or definition for this calculation, and we show the working so you can check it.
Spotted a mistake? Tell us and we'll check it. How we check our calculators