What is the curious relationship between exponential and logarithmic functions?

Click For Summary

Discussion Overview

The discussion revolves around the relationship between exponential and logarithmic functions, particularly focusing on the equation a^n + b^n = c^n and its implications. Participants explore the validity of certain mathematical expressions and their interpretations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant presents an equation involving exponential functions and logarithms, questioning the relationship between them.
  • Another participant asks for clarification on what is considered strange about the initial claim.
  • A third participant inquires whether the notation "this =/= is approximately" is being used correctly in the context.
  • The original poster later acknowledges a misunderstanding, indicating a moment of realization regarding their earlier statement.

Areas of Agreement / Disagreement

The discussion includes moments of confusion and clarification, but no consensus is reached on the implications of the mathematical relationships presented.

Contextual Notes

There are indications of missing assumptions and potential misunderstandings regarding the mathematical expressions discussed, but these remain unresolved.

drag
Science Advisor
Messages
1,097
Reaction score
1
Greetings !

Maybe I'm just too tired and missing something, but this strange thing
occurred to me:
a^n + b^n = c^n
ln( a^n + b^n ) = n * ln ( c )
a^n + b^n =/= e^n * c
example: a = 3; b = 4; c = 5; n = 2; 25 =/= e^2 * 5

Live long and prosper.
 
Mathematics news on Phys.org
What's strange about it?
 
this =/= is approximately?
 
ah... sorry, like I said I AM very tired, I see it now, foolish of me... :biggrin:
 
Last edited:

Similar threads

  • · Replies 3 ·
Replies
3
Views
806
Replies
7
Views
3K
  • · Replies 125 ·
5
Replies
125
Views
21K
  • · Replies 4 ·
Replies
4
Views
4K
Replies
2
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
Replies
2
Views
1K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 16 ·
Replies
16
Views
3K