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 .
Find x-intercept by substituting 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
.