A summary of log equations will be useful
(1)
(2)
(3)
(4)
(5)
If
then
(6)
In the examples that follow I will indicate where each rule has been used.
Example: Solve
Apply (1) to give
Apply (6) to give
x cannot be -4 because
does not exist, so
Example: Solve
(5) gives
Substitute 
to give
Multiply by p to give
We have to find x using
and 
Using (6).
Example: Solve
(2) gives
Use (6) to give
