[b](Updated on 31Dec 2011)[/b]
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==)