## John L's Formulas – Chapter One## Page 2, continued from the first page.Page 2 was updated January 15, 2013. The content of the first page will always remain as originally posted. |

To summarize the development of the equation introduced on the first page along with some examples, we have this whiteboard: This equation appears to perform its initially-intended function in finding The classic example is 2 + 2 = 2 × 2. The equation works when n is an integer which is equal to or greater than 2. Note the examples in the whiteboard image above when n = 2, 3 and 4. As as can n – this algebraic equation will generate a value for X for various values of n, and a graph can be made accordingly. Graphing calculators on the web (cited on Page 4 where these thoughts continue) have no difficulty with this equation which has to be made workable by being expressed as the equivalent, "X=n^(1/(n-1))" but put into standard x,y form as "y=x^(1/(x-1))." For purposes of consistency on these web pages, the original n,X form remains (although I do tend to use a small x at times).The graphing discussion continues on Page 4. In the interim, Page 3 intends to summarize the development of the equation a bit more clearly. |

This page was last modified on 1/15/13 at 12:30 PM, CST. John Lindquist: homepage & e-mail, complete site outline. University of Wisconsin-Madison |