The function is
.
Find the domain of the function
.
Domain of logarithm function
is defined for
or
in interval notation.

The domain of
is
.
\
Find the range of the function
.
The range of the logarithmic function is
.
\
Find x-intercept of the function
.
To find x-intercept substitute
in 
Apply definition of logarithm :
if and only if
.

.
The logarithm function
has x-intercept at
.
\
Find vertical asymptote of the function
.
The equation of vertical asymptote of graph of the function
is
.
Vertical asymptote of the function
is
.
The domain of
is
.
The range of the logarithmic function is
.
The logarithm function
has x-intercept at
.
Vertical asymptote of the function
is
.