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

[swampwiz]

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 a^b = 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.

 

[gsal]

Here, let me google that for you:

http://www.themathpage.com/alg/logarithms.htm"

 

[HallsofIvy]

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.

 

[gsal]

Hhhhmmm...oops, I guess you're right...they do mention the other two terms and their names, but not exactly that one...my mistake.

 

[CellCoree]

The term for the value b in a logarithm function is the argument or input. In the equation log a b = c, b is the argument or input that is being raised to the power of c. In the equation ab = c, c is called the power or exponent, while b is still considered the argument or input. It is important to note that the term "power" can be used interchangeably with "exponent" in some cases, but in this context, it specifically refers to the value that the argument is being raised to.