Question 156132
Exponential function: {{{f(x)=2^x}}}


Logarithmic function: {{{g(x)=log(2,(x))}}} note: I used the property {{{b^x=y}}} <====> {{{log(b,(y))=x}}}


Graph of the exponential function {{{f(x)=2^x}}} (red) and the logarithmic function {{{g(x)=log(2,(x))}}} (green)



{{{ graph( 500, 500, -10, 10, -10, 10, 2^x, log(2,(x))) }}}



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