## Kissing Curves

At exactly what values of a and x do the curves y = a^{x}and y = log_{a}(x)kiss?

Drag the slider to find the value of a when the two curveskiss.

Now try and prove your result algebraically!a

^{x}= log_{a}(x) when x =a

^{x}= log_{a}(x) when a =

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Steve Arnold2018, Created with GeoGebra

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