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 …

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, …

Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log 2 8.

Aug 13, 2025 · 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 …

What is a natural logarithm? A natural logarithm, also called natural log is a logarithm that uses base e where e = 2.718281828. As a result, you are always looking for the number of times …

Let’s discuss each in detail. Common Logarithm A common logarithm is also known as a decadic logarithm, decimal logarithm, or Briggsian logarithm. It is written with base 10. It is often written …

In general, you write log followed by the base number as a subscript. The most common logarithms are base 10 logarithms and natural logarithms; they have special notations.

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 …

This guide will explain what a logarithm is, how it relates to exponents, how to apply log rules, and how to use calculators to make your work quick and simple.

However, there are those who refer to the natural log (ln), as "log." As such, it is important to know what context the term is being used in. To avoid ambiguity, it is safest to use "log" to refer to …