  The arbitrariness in how the logarithm is defined within the QCD series for
the inclusive electroproduction cross-section is shown to affect the summation
to all orders in $\alpha_s$ of leading and successively-subleading logarithms
within that perturbative series, even though such summations largely eliminate
the residual dependence of the original series on the arbitrary renormalization
scale $\mu$. However, given that the original (unimproved) series is known to
third-order in $\alpha_s(\mu)$, this logarithm ambiguity is shown not to enter
the optimally improved summation-of-logarithms series until the term
fourth-order in $\alpha_s(s)$, where $s$ is the physical center-of-mass energy
squared. Consequently, the ambiguity in how the logarithm is defined is
absorbable in the uncertainty associated with truncating the original
perturbative series after its calculationally known terms.
