Terminology for exponentiation and logarithms

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SUMMARY

The discussion focuses on the precise terminology related to exponentiation and logarithms. In the equation 2³ = 8, "2" is identified as the base, "3" as the exponent, and "8" is correctly referred to as the result or the value of the expression, rather than the power. Additionally, in the logarithmic equation log₂(8) = 3, "2" is the base, "8" is the anti-logarithm, and "3" is the logarithm. The terminology used in the discussion is accurate and aligns with standard mathematical definitions.

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wolf1728
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I am attempting to write a page concerning exponentiation and logarithms for my website www.1728.com

Basically I'd like to know the precise terminology.
In the equation 2³ = 8
we can say that "2" is the base, "3" is the exponent but what exactly is the "8" called? I have seen it referred to (no doubt incorrectly) as the power? I'm thinking the "8" could be called the answer, the result, or the product but there might be a better term.

In this equation,
log 2 (8) = 3

"2" is the base, "8" is the anti-logarithm and "3" is the logarithm.
(I'm guessing I have defined those correctly).

Any answers would be greatly appreciated and thank you.
 
Mathematics news on Phys.org
Two to the third power is eight. The product is 8.

Log base two of eight is three. Your terms are good.
 

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