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, …

Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10. It is called a "common logarithm".

Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

Sep 26, 2025 · By definition x is a logarithm, and there is thus a logarithmic function that is the inverse of the exponential function (see figure). Specifically, if y = ex, then x = ln y.

Jul 23, 2025 · In mathematics, a logarithm is the inverse operation of exponentiation. It is defined as the power to which the base number must be raised to get the given number. Logarithms …

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.

Dec 26, 2024 · Understanding logarithms starts with two essential terms: For example, in log base 10 of 100, the base is 10 and the argument is 100. Mastering these terms is critical to grasping …

The meaning of LOGARITHM is the exponent that indicates the power to which a base number is raised to produce a given number. How to use logarithm in a sentence.

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and …

Nov 17, 2025 · Recall that the logarithmic and exponential functions “undo” each other. This means that logarithms have similar properties to exponents. Some important …