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Go to web-page
https://www.wolframalpha.com/widgets/view.jsp?id=a7d8ae4569120b5bec12e7b6e9648b86
It is free of charge solver for finding the roots of non-linear functions.
Input your equation there and click the "Submit" button.
By doing it, I found (or, better to say, the solver found) two roots
0.018664 and 1.71152.
This problem can not be solved algebraically.
An approximate solution can be found by using numerical methods, as this solver does.
A visual picture is in the plot below.
Plot y = 
(red) and y = ln(x) + 5 (green)
