Problem: If and are real numbers and , then:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
Choices , and must be rejected since the logarithm of a negative real number is not defined (on this level of mathematical study). Choice must be rejected since . Choice ( ) is the correct one since for exists, and is a negative real number.
or
Since it is given that , then . This result, together with the fact that (on this leve!) is defined only for , leads to choice ( ).