I am trying to understand what it means by $0.01\log_{10}$, which was published in this paper at page 7 in IEEE. I cannot convert $0.01\log_{10}$ to a number since I expected to see something like $0.01\log_{10}^3$ to be able to say it is equal to 0.0048. The authors uses this expression twice in the paper.
Could someone kindly help me in understanding what the authors meant by $0.01\log_{10}$?
The following is a snapshot of the paragraph of the paper in which $0.01\log_{10}$ was used.
In context, I believe that "within $0.01 \log_{10}$" is shorthand for "within $0.01$ on a $\log_{10}$ scale". This is the same as saying that the two numbers differ by at most a multiplicative factor of $10^{0.01}$. So it is basically a fancy way of saying that the error is at most $2.3\%$. Such language would make sense in a field where things are commonly measured in log scales, such as acoustics.