Log Calculator
Calculate logarithms with any base, natural log and antilog.
What is Log Calculator?
A logarithm calculator computes logarithms in any base, including natural logs (base e) and common logs (base 10).
Logarithms compress exponential relationships and appear throughout science, finance, and engineering.
How does the Log Calculator work?
The calculator finds the exponent y to which the base b must be raised to get x.
It also shows the natural log and common log of the value.
How to use the Log Calculator?
- Enter the value and the base.
- The calculator shows the logarithm in the chosen base.
Example
Try the calculator with your own numbers
- Enter your values in the input fields above.
- Adjust the values to match your situation.
- The result updates instantly as you change the inputs.
Benefits of using the Log Calculator
- Solve exponential equations.
- Analyze growth and decay.
- Work with pH, decibels, and Richter scales.
Who should use the Log Calculator?
- Students practising problems and verifying homework answers.
- Teachers preparing examples and checking student work.
- Engineers and analysts who need quick, reliable calculations.
- Anyone who wants to double-check manual arithmetic.
Tips for getting the most out of the Log Calculator
- Check your inputs for typos — a single wrong digit changes the result completely.
- Use the result to verify your manual working, not to replace understanding.
- Try a simple case first (like 0 or 1) to make sure the output makes sense.
Frequently Asked Questions
What is the natural log?
The natural log uses base e (≈2.718) and is written as ln(x).
What is log of 1 in any base?
Zero — any base raised to 0 equals 1.
Accuracy matters more than speed in maths, but the Log Calculator gives you both: a verified result the moment you enter the inputs.
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