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# Graphing logarithmic and exponential functions

### The Exponential function as the inverse of the logarithmic function

Graphically, an inverse function is one which appears to be reflected along the $$y = x$$ line.

For example, if we plotted on the same set of axes:

• $$y = \log_{2}(x)$$
• $$y = 2^x$$ and
• the line $$y = x$$

we have:

• The logarithmic function is an inverse of the exponential growth function so all of its properties are mirror image (reflected in the line $$y=x$$) of the properties of the exponential growth function.