Nowadays with computers and programs such as Excel, there is little value in these graphs as the actual calculation can be setup in, say Excel, and the result (an unknown) will be returned when the 'known' variable is entered.
Pre-computing, these graphs saved the user from repeating a long calculation manually each time the 'unknown' was required for another known value, in a specific environment.
If you are trying to re-create this graph, is it for an academic exercise, in which case it should be done by using the original formula, and creating the series of data, which are then used to create the graph. In the Scale dialog boxes for Excel charts there is an option for using logarithmic scales - as used on the graph you posted.
If you are not going to create the graph using the actual formula, as a rough approximation you could read all the x values for each y value at the intervals shown, for each line (series), and record them in cells - a different row for each line, and use them as the source of an Excel graph, using logarithmic axes. Given the size of the original and the fact that the axes are logarithmic, you are likely to have difficulty getting accurate values, especially for higher values.