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.

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 …

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. …

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 the …

Here, "log" stands for logarithm. The right side part of the arrow is read to be "Logarithm of a to the base b is equal to x". A very simple way to remember this is "base stays as the base in both forms" and …

What is a logarithm in easy terms? Keep in mind that whenever you are looking for the logarithm, you are looking for an exponent, or the number that tells how many times the base is multiplied. For …

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.

Nov 6, 2024 · The following free guide to the Log Rules shares and explains the rules of logs (including exponent log rules), what they represent, and, most importantly, how you can use them to simplify a …

May 14, 2025 · Like subtraction is the opposite of summation, a logarithm is the inverse of exponentiation. If exponentiation is. \ [10^2 = 100\] Then the logarithmic version is. \ [\log_ {10} (100) …