In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 …

Logarithm rules and properties Logarithm Rules The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. Logarithm definition Logarithm rules Logarithm …

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

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For example, log (3)+log (2) = log (6). The result is a single logarithm with the same base as those being added. The formula for the product law of logarithms is given as: The product rule of logarithm laws …

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In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes.

Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step

May 10, 2026 · Logarithm, the exponent or power to which a base must be raised to yield a given number.