The phrase "as a function of the logarithm" is correct and usable in written English.
It can be used in mathematical or scientific contexts to describe a relationship where one variable depends on the logarithm of another variable.
Example: "The growth rate of the population can be modeled as a function of the logarithm of the initial population size."
Alternatives: "in relation to the logarithm" or "depending on the logarithm".
The CMC value of the BS solution was defined by plotting the broth ST as a function of the logarithm of BS concentration.
The corrosion resistance of the films tended to increase as a function of the logarithm of the film thickness, irrespective of the electrolyte species and electrolysis conditions.
In this way it was possible to plot the cell voltage (corrected from the ohmic drop) as a function of the logarithm of the imposed current density.
A working curve is prepared by plotting the potential of a series of standard solutions as a function of the logarithm or natural logarithm (ln) of the activities or concentrations of the solutions.
However, at a fixed temperature of 973 and 1023 K, the measured emf of the sensor was found to vary linearly as a function of the logarithm of concentration of SOX in the gas mixture between 100 and 3000 ppm.
TiO2-coated RuO2 electrodes showed a linear response as a function of the logarithm of the dissolved oxygen concentration in the 0.5 8 ppm range (log[O2], −4.82 to −3.60; concentration of O2 in mol dm−3).
The logarithms of the obtained absorbances for the reaction of CIN with NQS were plotted as a function of the logarithms of the concentrations of the reagent and CIN in the first and second sets of experiments.
The calibration line was derived as a function of the logarithms of negative slopes and the molecular weights of the standard.
A probit link was then fitted to the data where the probit knockdown was a function of the logarithm of times for each strain.
One can also apply a transformation of the Kaplan-Meier survival curves and plot the function log -log(S(t))) as a function of the log -logival time, where log repreS tts the nasural logarithm function.
The plot showing the logarithm of the β × μ product (deduced from PA signals) as a function of logarithm of the frequency for C1 to CF4 flours displays the behavior similar to that observed for the logarithm of PA signal.
