Logarithm Calculator
Logs in any base, plus natural log and antilog.
log10(1,000)
3
Natural log (ln)
6.90775528
Log base 10
3
Log base 2
9.96578428
Check
10^3 = 1,000
ShowHide the working
- 1log_b(x) = ln(x) ÷ ln(b) = 6.907755 ÷ 2.302585 = 3
Formula
logᵦ(x) = ln(x) ÷ ln(b)How it works
The logarithm of a value in any base, using the change-of-base formula, with the common bases alongside.
Example
log₁₀(1000) = 3.
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About the Logarithm Calculator
Logs in any base, plus natural log and antilog. It sits in the Math & Algebra section of NWS Calc, a free collection of calculators that run entirely in your browser. There is no signup, no paywall and no tracking — open the page, enter your numbers, get an answer.
Frequently asked questions
- Is the Logarithm Calculator free to use?
- Yes. Every calculator on NWS Calc is completely free, with no signup, no usage limits and no ads.
- Does my data leave my device?
- No. The Logarithm Calculator runs entirely in your browser using JavaScript. Nothing you type is uploaded, logged or stored on a server.
- Can I use the Logarithm Calculator on my phone?
- Yes. The page is fully responsive and works in any modern mobile or desktop browser — there is nothing to install.
- What else is in Math & Algebra?
- Equations, fractions, primes, roots, sequences and number theory. You can browse the full Math & Algebra category for related calculators.