Is Log n Equal to Any of These Expressions for All Instances of n?

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Homework Help Overview

The discussion revolves around the mathematical comparison of the logarithmic function log n with other expressions, specifically questioning whether log n is equal to any of these expressions for all instances of n.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about the equality of log n with other expressions, suggesting it may hold true for specific instances but not universally. Other participants discuss the nature of the formulas in relation to n and emphasize the importance of definitions in resolving the questions posed.

Discussion Status

The discussion includes varying perspectives on the equality of log n with the given expressions. Some participants assert definitive answers, while others highlight the need for careful consideration of definitions and assumptions. There is no clear consensus, but multiple interpretations are being explored.

Contextual Notes

Participants note that the formulas in question do not depend on n, which raises questions about the nature of the comparisons being made. The original poster's uncertainty indicates a potential gap in understanding the definitions involved.

surfy24
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Homework Statement



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The Attempt at a Solution



I believe log n does not equal any of these for all instances of n, but may for one specific instance...not entirely positive but I want to see what you guys think.
 
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Those formulas do not depend on n. It is a yes/no-decision for all 3 questions, and you need the definition of those symbols to solve it.
 
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Last edited:
All three are right.
 

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