Wolfram Research  Mathematica    MathWorld    Wolfram Science    More »    Wolfram Web Resources
HOME
TOPICS
LATEST
ABOUT
FAQS
PARTICIPATE
AUTHORING AREA

A Visualization of Logarithms
Let , , , stand for the areas of the regions colored red, blue, orange, and green, respectively.
In the right graphic, observe that . Moreover, , because:
and .
Therefore the red area is .
In the case , the red area is .


Reference: Füsun Akman, "Proofs without Words under the Magic Curve," The College Mathematics Journal, 33(1), 2002 pp. 42–46.


"A Visualization of Logarithms" from The Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/AVisualizationOfLogarithms/
Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa
comments
Interact with Demonstrations using the latest version of the free Mathematica Player—Download Now
Related Topics

Some Related Demonstrations

Share & Bookmark This Demonstration

Contribute

 
Powered by Wolfram Mathematica
Give us your feedback
Give us your feedback

Source page:




 often  occasionally  never

Note: Please do not include anything you consider confidential or proprietary. Your message and contact information may be shared with the author of any specific Demonstration for which you give feedback, but will not otherwise be published or distributed.
Privacy Policy »
Note: To run this Demonstration you need the free
Mathematica Player or Mathematica 7+
Download or upgrade to Mathematica Player 7
I already have Mathematica Player or Mathematica 7+