A summary of log equations will be useful

(1)

(2)

(3)

(4)

(5)Ifthen

(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 becausedoes not exist, so

Example: Solve

(5) givesSubstitute to give

Multiply by p to give

We have to find x using

and Using (6).

Example: Solve

(2) givesUse (6) to give