The logarithm equation is
.

Apply product property of logarithm :
.

Definition of logarithm :
if and only if
.


and
.
and
.
Check logarithm equation at
.
Substitute
in
.

The domain of logarithm is :
.
and
is not in the domain of logarithm.
Hence
is not a solution.
Check logarithm equation at
.
Substitute
in
.

Apply product property of logarithm :
.

Change of base formula :
.

Logarithm equation exist at
.
The value of
is
.