What are common and natural logarithms?

Common log (log₁₀): base 10, written log. Natural log (ln): base e≈2.718. ln(e) = 1, log(10) = 1.

How accurate are these calculations?

Our calculator uses double-precision floating-point arithmetic, accurate to about 15-16 significant digits for most calculations.

Can I use the result in further calculations?

Yes, results are calculated to full precision. You can copy the exact value or use the rounded display depending on your needs.

Logarithm Calculator - Free Online Tool

Perform mathematical calculations with this free logarithm calculator.

Quick and accurate results for students and professionals.

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Last updatedMay 21, 2026How we build & check our tools

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Frequently Asked Questions

Common questions about the Logarithm Calculator - Free Online Tool

The power to which a base must be raised. log₁₀(100) = 2 because 10² = 100. Inverse of exponentiation.

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Sources & References

Mathematical functions and constants

Definitions, identities, and standard values for mathematical functions and constants used across these calculators.

→Source: NIST Digital Library of Mathematical Functions

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