Question 172962
{{{f(x)=y=b^x}}} is an exponential function.  Notice that the independent variable is an exponent.


The inverse function is {{{f^-1(x)=y=log(b,x)}}}


Selecting b = 10, the red line is the graph of {{{y=10^x}}} and the green line is the graph of {{{y=log(10,x)}}}


{{{graph(600,600,-5,5,-5,5,10^x,log(10,x))}}}


Note that there are imperfections in the rendering of these graphs.  The exponential function is asymptotic to the negative x-axis, and the log function is asymptotic to the negative y-axis.