Anti-logarithm

Taking the anti-logarithm of this equation gives... 

Finding Anti logarithms. Sometimes we know the logarithm of a number and must find the number. This is called finding the antilogarithm (or inverse hgariiim). To do this on a calculator, (1) enter the value of the log (2) press the (INV) button and (3) press the (log) button. 

By the lUPAC [25] definition, the activity (a) is the anti-logarithm of the chemical potential and does not constimte a new physical entity ... 

Just as with pH, the function Hq is a logarithmic function. It is convenient to define its anti-logarithm as... 

Wipf has shown that 4,4-disubstituted cyclohexanones undergo nucleophilic attack where the facial selectivity is determined by dipolar control. Thus, compounds of the type 23 underwent nucleophilic attack anti to the electronegative substituent at C(4), whereas the fluorinated analogue, 24, underwent attack syn to the oxygen, in accordance with the inversion of the dipole moment. They found that the logarithm of the experimentally observed facial selectivity for nucleophilic attack was correlated linearly (R = 0.998) with the calculated dipole moments. The facial selectivities were also shown to depend upon the nature of the nucleophile, hydride ions and alkynyl carbanions being essentially unselective. 

Figure 43-12 Histogram of NAT2 phenotypical activities as obtained by the caffeine test 5 hr urine collection obtained after administration of caffeine, and analyzed for caffeine metabolite concentrations.Values represent the logarithmically transformed ratio of metabolites 5-acetylamino-6-formylamino-3-methy -uracil (AFMU) and I-methyixanthine (IX). From the distinct biomodal distribution an anti mode of log(0.50)...

Define the term binding constant . The logarithms of the binding constants for the complexation of Na by the various isomers of dicyclohexyl[18]crown-6 that have been synthesised so far are 4.08, 3.68, 2.99 and 2.52 for the cis-syn-cis, cis-anti-cis, trans-syn-trans and trans-anti-trans isomers, respectively (MeOH, 25°C). Suggest reasons for this large variation. The corresponding binding constant for [18]crown-6 is 4.32. How does this fit in with your ideas ... 

Nonenzymatic smart systems, that show a nonlinear response to a stimulus, took advantage of the variation of temperature. For instance, the reaction between p-tolyl sulfide and peroxomonosulfate or m-chloroperbenzoic acid shows the expected linear dependence of the logarithm of the measured rate constant on the reciprocal temperature (the Arrhenius behavior). However, in the presence of a thermoresponsive poloxamer H(OCH2CH2)27-(OCH(CH3) CH2)6i(OCH2CH2)2 OH, which forms micelles as the temperature is increased, anti-Arrhenius or hyper-Arrhenius behaviors are observed." ... 

The objective compounds studied are a series of iV-phenylacetamides (NPAs) used as herbicides. The molecule structure of A-(l-methyl-1-phenylenthyl) phenylacemides is shown in Fig. 9.12, where a represents Me, F, Cl, OMe, CF3, or Br, etc., and P represents Me, Cl, F, or Br, etc. The molecular structures and the corresponding anti-scipujuncoide activity (PI50, the negative logarithm of the concentration needed for 50% inhibition) data are quoted from literature [77]. The combinations of different a and P can form diversified compounds. 

Figure 5.4 shows another linear relationship of Tm, that obtained as a function of the logarithm of the cation concentration. It is followed by all DNA s and most double-stranded anti-parallel polynucleotides (see Chapter 6). 

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