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 …

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

Mar 30, 2026 · logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one …

The common logarithm The common logarithm is a logarithm whose base is 10 ("base- 10 logarithm"). When writing these logarithms mathematically, we omit the base. It is understood to be 10 .

Apr 21, 2026 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is the …

May 28, 2024 · What is a logarithm and how it works with examples. How to solve logarithmic equations is explained with the formula. Also, learn natural and common logarithms.

May 16, 2007 · An introduction to logarithmsAbout Khan Academy: Khan Academy is a nonprofit with a mission to provide a free, world-class education for anyone, anywhere. We...

The logarithm rules are the same for both natural and common logarithms (log, log a, and ln). The base of the log just carries to every log while applying the rules.

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

The logarithm laws are: The Product Rule The Quotient Rule The Power Rule The Inverse Property of Logarithms The Zero Rule The Identity Rule The Inverse Property of the Exponent The Product …