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The touches of y=a^x and y = log{a} x

(Updated on 31Dec 2011)
Explore when and where the graphs of y=a^x and y = log{a} x touch each other, and also their possible numbers of intersections and the corresponding conditions.

Reference (in Traditional Chinese):
李政豐· 顏貽隆· 蔡敏娟· 陳明君 （2004）。函數y = a^{x} 與 y = log_{a}x 的圖形交點個數的探索。《數學傳播》(MATHMEDIA) 第 28 卷 第 4 期，17 - 29。(http://w3.math.sinica.edu.tw/media/pdf.jsp?m_file=ZDI4NC8yODQwMg==)
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Material Type
Worksheet
Tags
functions  graph  exponential  graphs  logarithmic  logarithm  e  intersection  intersections  function  intersect 
Target group (age)
15-18
Language
English (UK)
 
 
GeoGebra version
4.0
Views
1261
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