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
.