The function is
.
(a)
\Find the domain of the function.
\The function is
.
Domain of logarithm function
is defined for all
or
.
Therefore, the domain of the function
is
.

\

\

Therefore, the domain of
is
. \ \
(b)
\Find the value of
.
Substitute
in
.





.
Therefore,
.
The point is on the graph of the function
is
.
(c)
\Find the value of
, when
.
Substituting
in
.


Definition of logarithmic functions
if and only if
.




The point is on the graph of the function
is
.
(d)
\Find value of zero of
.
Substitute
in
.


Definition of logarithmic functions
if and only if
.




The value of zero of
is
.
(a) The domain of
is
. \ \
(b) The point is on the graph of the function
is
.
(c) The point is on the graph of the function
is
.
(d) The value of zero of
is
.