Question 301207
You have to iterate to find a solution. 
I used Newton's method. 
{{{f(x)=4-x-ln(x)}}}
{{{df/dx=-1-1/x}}}
{{{x(n+1)=x(n)-f(xn)/((df/dx)(xn))}}}
I started with {{{x0=3}}}. 
It quickly settled (2 iterations) to the root of
{{{x=2.92671}}}