What Does log^3(n) Signify in Mathematical Notation?

  • Context: Undergrad 
  • Thread starter Thread starter Gear2d
  • Start date Start date
Click For Summary

Discussion Overview

The discussion centers around the interpretation of the mathematical notation log^3(n), specifically distinguishing it from other forms like (log(n))^3. Participants explore the implications of this notation in terms of its mathematical meaning and its effect on the shape of the logarithmic function.

Discussion Character

  • Technical explanation, Conceptual clarification

Main Points Raised

  • Some participants assert that log^3(n) simply represents the third power of the logarithm.
  • Others question whether log^3(n) is equivalent to (log(n))^3, seeking clarification on the notation.
  • One participant draws a parallel to trigonometric notation, stating that sin^3(x) is analogous to (sin(x))^3.
  • Another participant emphasizes that it is merely a matter of notation.

Areas of Agreement / Disagreement

There appears to be general agreement that log^3(n) denotes the third power of the logarithm, but some participants seek further clarification on its implications for the function's shape.

Contextual Notes

Participants do not fully resolve the implications of the notation on the behavior of the logarithmic function, leaving some assumptions and interpretations open to further discussion.

Gear2d
Messages
49
Reaction score
0
I was wondering what does log^3(n) mean (yes its log^3 (n) not log (n)^3)?
 
Mathematics news on Phys.org
What do you mean with :" what does [tex]log^3n[/tex] mean? It is simply the third power of the log. Or are u asking how will that change the basic shape of the log function?
 
sutupidmath said:
What do you mean with :" what does [tex]log^3n[/tex] mean? It is simply the third power of the log. Or are u asking how will that change the basic shape of the log function?

Does that mean log^3 n = (logn)^3?
 
Yes.

Just like

[tex]\sin^3x = (\sin x)^3[/tex]
 
It's just notation.
 

Similar threads

High School How to prove this approximation?
  • · Replies 37 ·
2
Replies
37
Views
4K
Undergrad Finding N / log(2) and M / log(3) very close together
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Average of prime factors growth
  • · Replies 12 ·
Replies
12
Views
2K
MHB A logarithm formula involving the mascheroni constant
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Name of distance to nearest multiple of n function?
  • · Replies 1 ·
Replies
1
Views
1K
High School Error in approximation to log(223)/log(3) .... senior moment?
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Why Does Yₙ Converge to Zero for q < 1/2 in a Random Walk?
  • · Replies 8 ·
Replies
8
Views
2K
Is there a rule that states that I should not divide in this scenario?
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad What Does Normalization Achieve in Montgomery's Pair Correlation Conjecture?
  • · Replies 1 ·
Replies
1
Views
2K
Insights Fermat's Last Theorem
  • · Replies 105 ·
4
Replies
105
Views
11K