Antilogarithms

When finding the antilogarithm, keep as many significant digits as there are decimal places in the mantissa. 

To convert a pH into a concentration of H30+ ions, we reverse the sign of the pH and then take its antilogarithm ... 

When we take (natural) antilogarithms of both sides, we obtain [A]/[AJ ) = e kt, and therefore... 

An alternative form of this expression, which is obtained by taking antilogarithms of both sides, is... 

The common antilogarithm of a number x is the number that has x as its common logarithm. In practice, the common antilogarithm of x is simply another name for 10v, and so the common antilogarithm of 2 is 102 =100 and that of 2.18 is... 

Kinetic theory indicates that equation (32) should apply to this mechanism. Since the extent of protonation as well as the rate constant will vary with the acidity, the sum of protonated and unprotonated substrate concentrations, (Cs + Csh+), must be used. The observed reaction rate will be pseudo-first-order, rate constant k, since the acid medium is in vast excess compared to the substrate. The medium-independent rate constant is k(), and the activity coefficient of the transition state, /, has to be included to allow equation of concentrations and activities.145 We can use the antilogarithmic definition of h0 in equation (33) and the definition of Ksh+ in equation (34) ... 

The geometric mean diameter can then be found from the antilogarithm of log... 

In potentiometry with ISEs, however, the second Gran method [46] has found especially wide use, not only in titrations, but also in multiple addition methods in general. In these methods, the concentration of the test substance is plotted against the volume of the titrant or of the standard solution and thus the curve is linearized. The end-point in the titration or the determinand concentration in a multiple addition method is found as the intercept of the straight line with the volume axis. Linearization is attained by taking the antilogarithm of the Nernst equation ... 

Hence, the Gran plot is obtained by plotting against the volume (see fig. 5.2). To facilitate this procedure, a special semi-antilogarithmic paper is... 

Taking the antilogarithm of each side, we get y equal to 0.69, and this value is to be compared to a measured activity of 0.80. 

In the conversion of a logarithm into its antilogarithm, the number of significant figures in the antilogarithm should equal the number of digits in the mantissa. Thus,... 

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