The phrase "a logarithmic relation" is correct and usable in written English.
It can be used in contexts involving mathematics, science, or data analysis where a relationship between variables can be expressed in logarithmic terms.
Example: "The study revealed a logarithmic relation between the intensity of light and the distance from the source."
Alternatives: "a logarithmic relationship" or "a logarithmic correlation".
Logarithms occur in several laws describing human perception: Hick's law proposes a logarithmic relation between the time individuals take for choosing an alternative and the number of choices they have.
A logarithmic relation between chargeabilities and smoothed hydrocarbon concentrations in soils was found.
Higher analyte concentrations and the characteristic peak intensities of the analyte showed a logarithmic relation as anticipated from the plasmonically enhanced Raman scattering.
The model verifies that the rate of leaching is an exponentially decreasing function of concentration of dissolved aluminum, and consequently the latter follows a logarithmic relation with time.
Eventually, a logarithmic relation for decreasing rate of conductivity with closure stress (C2 in Nierode and Kruk's equation) was approximated using rock embedment strength for Asmari limestone.
A logarithmic relation was found between the RMS pressure and both the normalized average area and heat release rate for all flames.
Given an idealized utility metric with an unbounded logarithmic relation between perceived quality and data rate, a concave problem is retained, so that the optimum resource allocation is derived in closed form.
Finite-element-study suggests that the broadband absorption holds a universal logarithmic relation with the number of nanoparticles at moderate loading range.
The considered generic application characteristic resembles a bounded logarithmic relation between perceived quality and data rate as illustrated in Figure 5, described by the MOS as a function of the data rate of user (4a).
The authors stated that "regression analysis revealed a strong logarithmic relation for the surface area (r = 0.65)." This statement is problematic.
Removing the bounds in the application model (4) results in an unbounded logarithmic relation between utility metric and data rate.
