Sea Breeze: Christians can logically answer this question because of their belief that we are made in the image of a loving God and have intrinsic value.
Do we really have intrinsic value in a universe created by god? God does not need us. No matter how I behave in my lifetime, god could justifiably end my existence. Who would stop him? My behavior, good or ill, does not affect him, it does not change him. It cannot, by definition, since god is already perfect.
Putting aside the difficulty of reconciling his actions with the notion that he personifies love, we can logically recognize that we do not have intrinsic value in a reality where we are created by this being.