Newton-RaphsonMethod

HELLOplease I want to approximate the solution of the equation f(x)=x*(x-2)+log(x)=0
for that i did this program

f <- function(x){x*(x-2)+log(x)}
x <- c(1 : 2)
f(x)
h <- 1e-7
df.dx <- function(x){(f(x + h) - f(x)) / h}
df.dx(3/2);df.dx(2)
?newton <- function(f, tol = 1e-7, x0 = 3/2, N = 100){
?h = 1e-7
?i = 1; x1 = x0
?p = numeric(N)
?while (i <= N) {
?df.dx = (f(x + h) - f(x)) / h
?x1 = (x0 - (f(x0) / df.dx))
?p[1] = x1
?i = i + 1
?if (abs(x1 - x0) < tol) break
?x0 = x1
?}
?return(p[1 : (i-1)])
?}
?app <- newton(f, x0 = 3/2)

but i cann't find this approximation
please can you help me?