Natural Logarithm and Integral Operator

Click For Summary
The discussion centers on the interchangeability of the natural logarithm operator "ln" and the integral operator. Participants are encouraged to explore examples to test this concept. The mention of the Freshman's Dream suggests a playful approach, implying that all functions could be treated as linear in this context. The conversation highlights the need for practical experimentation in mathematical operations. Ultimately, the feasibility of interchanging these operators remains an open question.
EngWiPy
Messages
1,361
Reaction score
61
Hello,

Can we interchange the natural logarithm "ln" operator and the integral operator?

Regards
 
Mathematics news on Phys.org
Have you tried any examples to see if it might work?
 
By the Freshman's Dream, every function is linear!
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
View full post »

Similar threads

High School How to express ##3^{\sqrt(2)}## in terms of natural logarithms
  • · Replies 10 ·
Replies
10
Views
2K
Graduate Even with a whimsical mathematical usage, solutions are obtained!
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Am I misapplying something here? (Exponentials; Euler's identity)
  • · Replies 3 ·
Replies
3
Views
595
High School Issue With Algebra of Logarithms
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Elementary Functions - What Is The Exact Definition?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Need help understanding base-10 number format please
  • · Replies 2 ·
Replies
2
Views
1K
Natural Logarithm of Convolution
  • · Replies 3 ·
Replies
3
Views
5K
Undergrad Ln x as a logarithmic function
  • · Replies 17 ·
Replies
17
Views
2K
Undergrad What is the logarithm of the derivative operator?
  • · Replies 10 ·
Replies
10
Views
2K
High School Why is pH a negative logarithm?
  • · Replies 5 ·
Replies
5
Views
5K