Might be one possible formular.
I used Excel to make that. Plotted your values as a scatter graph.
Add a trendline for the graph (right click the line, and add Trendline)
In the options for the trendline, is an option to display the equation
to make the line.
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Convert fov to zoom:
zoom = -(Math.log(fov/45)-2*Math.log(2))/Math.log(2)
Convert zoom to fov:
fov = 180 / Math.pow(2,zoom)