The logarithm equation is
.
Apply product property of logarithm :
.

Apply one-to-one property of logarithm function :
if and only if
.


and 
and
.
Check logarithm equation at
.
Substitute
in
.

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

Apply product property of logarithm :
.

The logarithm equation exist at
.
The value of
is
.