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Exponent and log calculator
Powers, roots and logarithms in any base, plus ln and log₁₀.
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- Works on any device
About Exponent and log calculator
Raise numbers to powers, take square, cube or nth roots, and find logarithms in any base, including ln and log base 10. The change of base rule, log_b(x) = ln(x) / ln(b), is what lets one tool handle every base. Negative or fractional exponents work too.
How to use Exponent and log calculator
- Choose power, root or logarithm.
- Enter the base and the exponent, or the number and the root or log base.
- Read the result, including ln and log10 when they apply.
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
What is a negative exponent?
A negative exponent means the reciprocal of the positive power. So 2 to the power of -3 equals 1 divided by 2 cubed, which is 1/8 or 0.125.
What is the difference between ln and log?
Ln is the natural logarithm, with base e (about 2.718). Log10 uses base 10. You can also choose any other base, which is handy for things like log base 2 in computing.
How do I calculate a fractional exponent like 8 to the power 2/3?
The denominator is the root and the numerator is the power. For 8^(2/3), take the cube root of 8, which is 2, then square it to get 4.
Is Exponent and log calculator free?
Yes. Exponent and log 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 Exponent and log 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.