Stephen ARNOLD
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Kissing Curves

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

  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 =


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Steve Arnold2018, Created with GeoGebra

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