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 …

Sometimes a logarithm is written without a base, like this: This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the "log" button.

Feb 16, 2026 · Expressed in terms of common logarithms, this relationship is given by log mn = log m + log n. For example, 100 × 1,000 can be calculated by looking up the logarithms of 100 (2) and 1,000 …

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.

Logarithm is another way of writing exponent. The problems that cannot be solved using only exponents can be solved using logs. Learn more about logarithms and rules to work on them in detail.

Jan 13, 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 …

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 logarithm of y. …

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 · Learn the basics of logarithms, their properties, and practical applications in science, engineering, finance, and technology. Ideal for beginners.

Two of the most commonly used bases are base 10 (common logarithm) and base e (natural logarithm). Generally, when someone says (or writes) "log" without specifying the base, the convention is to …