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Calculate logarithms with any base including ln, log10 & log2.
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Logarithm Calculator delivers exactly what its name promises, calculate logarithms with any base including ln, log10 & log2, fast and free. Because it belongs to ToolsMonk's student tools collection, the whole workflow happens on a single page instead of being spread across separate apps or websites.
This tool is especially useful for workflows such as calculating logarithms for maths or science homework, finding natural log (ln) or log base 10, and working with logarithmic scales. Because it runs directly in your browser, you can use it on desktop, tablet, or mobile while keeping the process fast and easy for one-off tasks as well as repeat work.
It is built for getting a real result on the first visit: no learning curve, no account, and the wider ToolsMonk toolbox close at hand.
| Price | Free, no signup, no paywall, no watermark |
|---|---|
| Works on | Any modern browser: desktop, tablet, and mobile |
| Processing | In your browser, files never leave your device |
| Account required | None |
| Category | Student Tools |
Enter the number and the base (10, e, 2, or custom)
The tool calculates the logarithm
Read the result
Change the base or number for another calculation
Calculates logarithms in any base (log, ln, log₂, and custom)
Find the log of a number to a chosen base
Clear results for maths, science, and engineering
Runs in your browser, nothing is uploaded
Free, with no signup and no limit on problems
Calculating logarithms for maths or science homework
Finding natural log (ln) or log base 10
Working with logarithmic scales
Checking log values in any base
Logarithm Calculator was built so that anyone, professional or first-time visitor, gets what the page promises (calculate logarithms with any base including ln, log10 & log2) in seconds. Results are instant and accurate, and nothing needs to be installed or signed up for along the way.
Privacy and portability drive the design: all processing runs locally in your browser, so your files and data never leave your device. It behaves identically in every modern browser, from a desktop workstation to a phone.
Logarithm Calculator computes logarithms in any base, common log (base 10), natural log (ln, base e), log base 2, or a custom base, for maths, science, and engineering.
At heart, a logarithm answers a simple question: what power must you raise the base to in order to reach a given number? log₁₀(1000) = 3 because 10³ = 1000. That makes it the inverse of exponentiation, and the natural tool for anything involving exponential growth, decay, or enormous ranges of scale.
The common bases each have their home: base 10 for general use, natural log (base e) at the heart of calculus and growth/decay processes, and base 2 throughout computer science and information theory. Picking the base your problem uses is the main decision; the calculator handles the arithmetic.
Logs also explain why scales like decibels and the Richter scale are logarithmic, they compress vast ranges so each step multiplies rather than adds (a magnitude-6 quake releases ~32× the energy of a magnitude-5). The calculation runs in your browser with nothing uploaded. Pair it with the Permutation-Combination and other ToolsMonk STEM tools.
A log answers 'what power gives this number?', it's the inverse of an exponent
log = base 10, ln = base e, log₂ = base 2; pick the base your problem uses
Logarithmic scales (decibels, Richter) compress huge ranges, each step multiplies
Common questions about this tool, its workflow, and what to expect before you use it.
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Calculate logarithms with any base including ln, log10 & log2.
Use Logarithm Calculator free →Live tool (iframe)
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