I'm working on species area relationships. Basically, the more area you have, the higher the species richness. It's often described by a power function:
The contemporary way to use this power function is to transform S and A to log-scales so you end up with this:
$\log S = c + z \log A$
Where $c$ and $z$ are fitted constants, $S$ is species richness, and $A$ is area.
The value of $z$ is of my interest. I have been extracting $z$ values from papers to analyze for a project. However, I have run into papers with $z$ values from a semi-log version of this relationship.
$S = c + z \log A$
I am wondering if it's possibly to convert the semilog $z$ to a log-log $z$ without having any of the values of species richness or area? I have talked to my colleagues and they are not sure.