Stephen ARNOLD
HomeOnLine Maths Resources →Kissing Curves

Kissing Curves

At exactly what values of a and x do the curves y = ax and y = loga(x) kiss?

Sorry, the GeoGebra Applet could not be started. Please make sure that Java 1.4.2 (or later) is installed and activated. (click here to install Java now)
  1. Drag the slider to find the value of a when the two curves kiss.


  2. Now try and prove your result algebraically!

      ax = loga(x) when x =
    ax = loga(x) when a =

  

Steve Arnold, with thanks to Mike May S.J. for his JavaScripting. 24/03/2008, Created with GeoGebra


©2009 Compass Learning TechnologiesOnLine Mathematics Resources ← GeoGebra Showcase