There are two ways to make one of the x's in the equation the subject.
(One way is to add 2 to and subtract lnx from both sides, and the other is to add 2, subtract x and then take the exp of each side.)
Label the subject term xn+1 and the other x term xn. Then iterate.
In general the method fails if absolute value of g'(xn) is greater than 1 near the root.
So if you proceed as suggested in step 2 you'll see which arrangement is going to work near 1.4.