Relationship Between x^x and a^x

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Homework Help Overview

The discussion revolves around the relationship between the expressions x^x and a^x, focusing on whether they can be considered equivalent under certain conditions. The subject area includes algebra and exponential functions.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the definitions of the variables involved, questioning the meaning of 'a' and its relation to 'x'. There is an attempt to clarify the differences between the two expressions by substituting specific values for x and a.

Discussion Status

The discussion is ongoing, with participants examining the distinctions between the two expressions and raising questions about their implications, particularly in relation to limits. No consensus has been reached yet.

Contextual Notes

There is a suggestion that the relationship may depend on the values assigned to the variables, and the relevance of limits is also mentioned, indicating a potential area of exploration.

Juwad
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x^x, is this same as a^x?
 
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No. What's a?
 
as far as i know it's a variable?
 
Then take x=1, a=2. They're not the same. This should be pretty obvious just looking at them. And what does this have to do with limits?
 

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