77
where the constant = [(FL >0 + KdL]/(FL>0 = 1 + KdL/(FL>0- Fronl
equation (3-27) we immediately obtain
BL/C(BL)0'BL] = ClFL/[KdL(1+FC/KdC)+FL(1Cl)] (3-28)
which, upon elimination of Cj from the denominator and division by
FLKdi> yields
BL/[(BL)0_BL] = (Ci/KdL)/[(1/FL)(1+FC/KdC)-(1/(FL)0)]-
(3-29)
Thus, the exact logit-log equation is given by
logit [Bl/(Bl)0] = log (Cj/K^)
- log [(1/FL)(1+Fc/Kdc)-(1/(FL)0)], (3-30)
which is not computationally useful (since the term for the logit-log
abscissa itself contains the unknown K^). If, however, we may assume
that F^ is approximately constant over the entire range of (i.e.,
that F^ % (F^)q), then equation (3-30) reduces to the simplified form
logit [BL/(BL)0] % log [C1K(jC(F,_)Q/KdL] log Fc, (3-31)
which is the linear logit-log plot equivalent to equation (3-25) above.
A comparison of equations (3-25) and (3-31) shows that the assumption F^
2 (F^)q leads to the expression