Question 156278
Example of an Exponential function: {{{f(x)=3^x}}}


Now convert the Exponential function to a Logarithmic function using the property {{{b^x=y}}} <====> {{{log(b,(y))=x}}}: 


{{{g(x)=log(3,(x))}}}  



Now let's graph the exponential function {{{f(x)=3^x}}} (red) and the logarithmic function {{{g(x)=log(3,(x))}}} (green)



{{{ graph( 500, 500, -10, 10, -10, 10, 3^x, log(3,(x))) }}}



Notice how the logarithmic function is simply a reflection of the exponential function over the line {{{y=x}}}