Log
Calculator

Calculate logarithms with any base, natural logarithms, and antilogarithms. View results for common bases (2, e, 10) alongside custom calculations.

Input

Result

log10(100) =
2
Common Bases
log₂6.6439
ln4.6052
log₁₀2

Learn more

Why are decibels, pH, and the Richter scale all logarithmic?

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Frequently Asked Questions

A logarithm is the exponent to which a base must be raised to produce a given number. For example, log base 10 of 1000 equals 3 because 10 raised to the power of 3 equals 1000.

Log typically refers to base-10 logarithm (common log), while ln refers to the natural logarithm with base e (approximately 2.718). Both are used in science, engineering, and mathematics for different purposes.

Use the change-of-base formula: log base b of x equals log(x) divided by log(b), where log can be any convenient base. Most calculators use base 10 or base e for this computation.

Log Calculator - Calculate Logarithms Online | ToolsCanvas