## Explainer: What are logarithms and exponents?

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents).

## What is a Logarithm?

In algebra, “log” is short for “logarithm.” Logarithms are the opposites, or inverses, of equations involving exponents, like y = x^3.

## What Does Log Mean in Algebra? – Education – Seattle PI

“Logarithm” is a word made up by Scottish mathematician John Napier (1550-1617), from the Greek word logos meaning “proportion, ratio or word” and arithmos …

## Introduction to Logarithms – Math is Fun

Introduction to Logarithms

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number x to the base b is the exponent to which b …

Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

## Logarithm – Wikipedia

Jan 5, 2023 — 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 …

## Logarithm | Rules, Examples, & Formulas | Britannica

Nov 16, 2022 — In this definition y=logbx y = log b x is called the logarithm form and by=x b y = x is called the exponential form. Note that the requirement …

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 writes x = logb n. For example, 23 = 8; therefore, 3 is the logarithm of 8 to base 2, or 3 = log2 8. In the same fashion, since 102 = 100, then 2 = log10 100. Logarithms of the latter sort (that is, logarithms with base 10) are called common, or Briggsian, logarithms and are written simply log n. Invented in

## Algebra – Logarithm Functions – Pauls Online Math Notes

Algebra – Logarithm Functions

Logarithms are the opposite of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs undo …

In this section we will introduce logarithm functions. We give the basic properties and graphs of logarithm functions. In addition, we discuss how to evaluate some basic logarithms including the use of the change of base formula. We will also discuss the common logarithm, log(x), and the natural logarithm, ln(x).

## What are logarithms, and how do they work? – Purplemath

What are logarithms, and how do they work? | Purplemath

The logarithm of any number to the same base equals 1. x = log 11 11, This means the logarithm of 11 to the base 11. It is the exponent …

Logarithms are exponents, though they don’t look like it. “The Relationship” clarifies how logs work, and helps decode their meaning.