The phrase "a function of the logarithm of" is correct and usable in written English.
It can be used in mathematical or scientific contexts when discussing relationships or dependencies involving logarithmic functions.
Example: "The growth rate of the population is a function of the logarithm of the available resources."
Alternatives: "dependent on the logarithm of" or "related to the logarithm of".
A probit link was then fitted to the data where the probit knockdown was a function of the logarithm of times for each strain.
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.
When an actual cost graph is drawn on double logarithmic paper plotting the logarithm of the cost per unit as a function of the logarithm of the total number of units produced results in data points that almost form a straight line.
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.
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.
This important result must hold because the logarithm of metabolic power ( = ln(M−a)) is a linear function of the logarithm of drag power [8], [10], [15], [16].
Consistent with previous results, the TT was a linear function of the logarithm of the concentration.
On both E2 and E14, the dose response was a negative linear function of the logarithm of dose.
Figure 9 shows the dependence of the fraction as function of the logarithm of the concentration of BPP_1.
