Hi everyone,
Thank you for your responses.
Scott gave me some insight on how to construct the equiangular spiral manually, in segments. It's tedious, but works very well to create the desired shape. Thank you, Scott!
In the meantime, I found the Spirix plugin, which can generate true LOG10 conical spirals, among many other shapes, very quickly. https://sites.google.com/site/spirixcode/home It has a lot of interesting parameters to generate complex coils, twists, etc., with mathematical precision.