Intersection of the Exponential and Logarithmic Curves

A calculus student is likely to think that the graphs of the exponential and logarithmic functions do not intersect. A classroom presentation outline involving the basic algebra and the elementary calculus of the exponential and logarithmic functions is provided. The proofs are given either in a �...

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Veröffentlicht in:	Australian senior mathematics journal 2009-01, Vol.23 (1), p.5-8
Hauptverfasser:	Boukas, Andreas, Valahas, Theodoros
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Calculus Equations (Mathematics) Exponential functions Graphic methods Intersection graph theory Logarithmic functions Logarithms Mathematical Concepts Mathematics Mathematics Instruction Methods Problem Solving Problems, exercises, etc Secondary School Mathematics Study and teaching Validity
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	A calculus student is likely to think that the graphs of the exponential and logarithmic functions do not intersect. A classroom presentation outline involving the basic algebra and the elementary calculus of the exponential and logarithmic functions is provided. The proofs are given either in a 'forward' manner or by contradiction. A detailed discussion, mathematical proofs and a geometric description are also provided.
ISSN:	0819-4564