What is the term for the argument in a logarithm function?

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Discussion Overview

The discussion revolves around the terminology used in logarithmic functions, specifically focusing on the term for the value represented by 'b' in the expression log a b = c. Participants also explore the terminology for 'c' in the related expression ab = c.

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant asks for the term used for 'b' in the logarithmic expression log a b = c, noting that 'a' is the base and 'c' is the exponent.
  • Another participant suggests that 'b' is referred to as the "argument" of the logarithm.
  • A different participant acknowledges a mistake in not finding the term on a referenced webpage, indicating some uncertainty about the terminology.
  • There is a question about the term for 'c' in the expression ab = c, with a participant wondering if it is called "power" and expressing confusion about the use of the term.

Areas of Agreement / Disagreement

Participants express differing levels of certainty regarding the terminology, with some agreement on 'b' being called the "argument," but no consensus on the term for 'c' or the use of "power."

Contextual Notes

There is a lack of clarity on the terminology used in logarithmic functions, and participants reference external sources that do not fully address their questions.

Who May Find This Useful

Individuals interested in mathematical terminology, particularly in the context of logarithmic functions and their properties.

swampwiz
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If I have log a b = c, what is the term for the value b? I know that a is the base and c is the exponent, but I can't think of what b is called! While I am at it, in ab = c, what exactly is c called? The power? Would that make b from the previous example the power as well? I have a feeling that it is not called power since power is sometimes used for exponent.
 
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Here, let me google that for you:

http://www.themathpage.com/alg/logarithms.htm"
 
Last edited by a moderator:
I don't see anywhere on that page that it answers swampwiz's question.

Swampwiz, the only term I have ever heard used is exactly what you use- the "argument" of the logarithm.
 
Hhhhmmm...oops, I guess you're right...they do mention the other two terms and their names, but not exactly that one...my mistake.
 

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