Question 1134274


Remember that since the logarithmic function is the inverse of the exponential function, the domain of logarithmic function is the range of exponential function, and vice versa.

A simple exponential function like  {{{f(x)=2^x}}}  has as its {{{domain}}} the {{{set }}} of {{{real}}} numbers. But its {{{range}}} is{{{ only}}} the  {{{positive}}}  real numbers.

Therefore, the {{{domain}}} of the logarithmic function {{{y=log(b,x) }}}is the set of {{{positive}}} {{{real}}} numbers and the {{{range}}} is the {{{set}}} of {{{real}}}{{{ numbers}}}.