#### Answer

domain is $(0, \infty).$, range is $(-\infty, \infty).$

#### Work Step by Step

The logarithmic function is a function (e.g. $y = log_a {x}$) which is the inverse of an exponential function (e.g. $y = a^x$) . $a>0, a\ne1 $, $x>0$. However, the range is $(-\infty, \infty).$