... iterative methods.

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 x_{n+1}and the other x term x_{n}. Then iterate.

In general the method fails if absolute value of g'(x_{n}) 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.