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Logarithm calculator
Log of any base, natural log, and antilog, with the working.
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About Logarithm calculator
Compute a logarithm in any base, the natural log ln, and the antilog, with the working shown. A log answers the question: what power of the base gives this number? So log base 2 of 8 is 3. Antilog simply reverses it by raising the base to the result.
How to use Logarithm calculator
- Enter the number you want the logarithm of.
- Choose the base, or pick natural log, or switch to antilog.
- Read the result and the working beneath it.
Why use this tool?
- Private: everything happens in your browser. Nothing you enter is uploaded.
- Free, with no sign-up, no watermark and no limit on how often you use it.
- Works on phones, tablets and computers: Android, iPhone, Windows, Mac and Linux. Nothing to install.
- Free to embed on your own website, with a ready-made code to copy.
- Available in 10 languages.
Also known as
Frequently asked questions
Can you take the log of a negative number?
Not with real numbers. A positive base raised to any real power is always positive, so logs are only defined for values above zero. Complex logs exist but are a different topic.
What is the change of base formula?
The log of x in base b equals ln(x) divided by ln(b). It lets you compute any base using only a natural or common log.
What is an antilog?
The antilog undoes a logarithm. If log base 10 of x is 2, the antilog of 2 is 10 to the power 2, which is 100.
Is Logarithm calculator free?
Yes. Logarithm calculator on Toolipedia is free to use, with no sign-up and no watermark.
Is it safe to use?
Yes. Everything is worked out in your browser, and nothing you enter is sent to our server.
Does it work on my phone?
Yes. It works in any modern browser on Android and iPhone, as well as on tablets and computers. There's nothing to install.
Do I need an account?
No. Just open the page and use the tool. There's no sign-up and no email needed.
Can I put Logarithm calculator on my own website?
Yes. Use the Embed on your site button under the tool to copy a short piece of code and paste it into your page. It is free, needs no account, and the tool keeps working inside your page.