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Equation ln x = 1/x
For the equation 
, one solution exists but you cannot calculate it easily.
Explanation
With a little dexterity, you can find the value x = 1,763… on a calculator, because
1,763 ln (1,763) = 0,999…
where this answer is accurate to three decimal places. You can see the intersection point in the graph.
How you calculate this I do not know.