However, such equations often have extraneous 
answers, so we must check.  Logarithms may
be taken only of positive numbers.

Checking






We can see that on the left side, x must be negative 
to insure that a logarithm is being taken only of a 
positive number.  However that causes both terms on 
the right to be logarithms of negative numbers. 

So we must discard 

Checking 









Which checks.

The only solution is 

Edwin