Find the solution sets of and .
Remember the following rule of exponential functions:
Firstly, let us consider the first equation and apply the above rule:
Applying the rule above, we can see that
Now let us look at the second equation and consider the factors of 12 and express it in the same form as the LHS.
Equating the powers, we have either and , or
and . We check that this satisfies the first equation:
Therefore the solution set of the two equations is