Doctrine "x" is not contained in the Bible
Therefore, Doctrine "x" is not Christian.
And why is that a problem for you? That is PRECISELY what we believe! The logic is flawless!
Seems like the Catholic Church uses this one:
Doctrine "x" is not in the Bible
The Pope (who is infallible) says he believes Doctrine "x" is Christian
Therefore, Doctrine "x" is Christian