C. Solve
Of course, equations like these are very special. Most of
the problems that we will encounter will not have a logarithm on both sides, as
with the next set.
If the answer to our logarithmic equation makes the argument of it negative then
it is extraneous. This does not preclude negative answers. We must be sure to
check all of our solutions.
Tip: Not all negative solutions are extraneous!
Look at the following problems and we can see that some have negative answers.
D. Solve
The check mark indicates that we actually plugged the
answers in to see that they do indeed solve the original . Please do not skip
this step , extraneous solutions occur often.
Be sure to check all solutions to logarithmic equations
because some might be extraneous!