Logarithm Calculator
Calculate natural, base-10 and arbitrary-base logarithms, plus antilogarithms, with clear precision.
Local processingLogarithm Calculator
What is Logarithm Calculator?
Logarithm Calculator computes logarithms for any positive number and base. It reports natural log, base-10 log and a custom base, along with the antilogarithm for checking results.
How It Works
Natural and base-10 logarithms use Math.log and Math.log10. A custom base uses the change-of-base identity log_b(x) = ln(x) / ln(b). Inputs are validated for positive values and a valid base.
Common Use Cases
- Solving exponential equations
- Converting between log bases
- Working with pH, decibels or growth rates
- Checking homework and calculation results
Technical Details
Uses JavaScript Math.log and Math.log10 with the change-of-base formula. Values are computed locally with double precision.
How to Use
Enter your input above. The result updates automatically. Use the copy button to copy the result.
Privacy
All processing happens in your browser. Your data is never uploaded to any server.
FAQ
Can I use bases other than 10?
Yes. Enter any positive base greater than zero and not equal to one, and the result is computed with the change-of-base formula.
Is my data uploaded to a server?
No. Everything runs locally in your browser. Your input never leaves your device.
Does Logarithm Calculator work on mobile?
Yes. The interface is responsive and works in modern mobile browsers without installing an app.