I'm trying to use the Method of false position on the functions below to find solutions to within $10^{-5}$
(1) $f(x) = \ln (x-1) + \cos(x-1) = 0$, for $1.3 \leq x \leq2$
and
(2) $2x \cos(2x) -(x-2)^2 = 0$, for $[2,3]$ and $[3,4]$
I am trying to do this without using a computer program, and am stuck. Thanks