Logarithm Calculator
Calculate logarithms with different bases. Choose from common logarithm (base 10), natural logarithm (base e), or enter a custom base.
Why use this tool?
Logarithms are fundamental in mathematics, science, and engineering. This tool provides quick and accurate logarithm calculations with support for different bases.
- Multiple base options — common log (base 10), natural log (base e), or any custom base.
- Clear formulas — see the mathematical notation for each calculation.
- Decimal support — works with decimal numbers for precise calculations.
- Privacy — all calculations happen in your browser. Nothing is stored or transmitted.
Understanding Logarithms
A logarithm answers the question: "To what power must we raise the base to get this number?"
For example, log₁₀(100) = 2 because 10² = 100.
Common Types of Logarithms
- Common Logarithm (log₁₀) — base 10, used in science and engineering.
- Natural Logarithm (ln) — base e (≈ 2.718), used in calculus and physics.
- Custom Base — any positive base except 1, useful for specific applications.
Frequently Asked Questions
Yes, the MushTools Logarithm Calculator is completely free with no sign-up required. All calculations happen in your browser.
This tool supports common logarithm (base 10), natural logarithm (base e), and custom base logarithms. You can choose any positive base except 1.
No. Everything runs client-side in your browser. Your calculations never leave your device.