Calculate logarithms, natural logarithms, common logarithms, antilogarithms, and change of base with our free log calculator
Calculate logarithm with any base
Calculate natural logarithm (base e)
Calculate common logarithm (base 10)
Calculate antilogarithm (b^x)
Convert logarithm from one base to another
A logarithm is the inverse operation of exponentiation. If bˣ = y, then log_b(y) = x. Logarithms are fundamental in mathematics, science, and engineering, used for solving exponential equations, calculating growth rates, and working with very large or very small numbers.
Key properties of logarithms include:
The change of base formula allows you to convert logarithms from one base to another: log_b(x) = log_c(x) / log_c(b). This is particularly useful when working with calculators that only support natural log (ln) or common log (log₁₀).
Here are several everyday situations that show how easy it is to use our log calculator.
These examples show how our log calculator can handle:
You can adapt any real-life situation involving logarithms to one of these patterns and let the calculator do the work for you.