 | Nels Johann Lennes, Archibald Shepard Merrill - Logarithms - 1928 - 300 pages
...25 -H 22 = 26-2 = 23 (5') 2-» = ^ (3') (22)3 = 22-3=26 (6') 2° = 1 38. Logarithm of a product.— The logarithm of a product is the sum of the logarithms of the factors. Take 10 as the base and assume that M = 10». N = 10». Then, log M = x. log ¡V = y.... | |
 | Coast Artillery School (U.S.) - 1943 - 64 pages
...3. 6.54321 6. 2.68573 9. 1.98989 • 28. OPERATIONS WITH LOGARITHMS: Since logarithms are exponents, the logarithm of a product is the sum of the logarithms of the factors. Thus, to multiply 314 by 27, simply add the logarithms of 314 and 27, and find the antilogarithm.... | |
 | Thomas W. Hungerford, Richard Mercer - Mathematics - 1982 - 520 pages
...of the factors Since logarithms are just particular kinds of exponents, this statement translates as The logarithm of a product is the sum of the logarithms of the factors We now write this statement in formal symbolic language: FIRST LAW OF LOGARITHMS Zogjvw)... | |
 | Richard P. Olenick, Tom M. Apostol, David L. Goodstein - Science - 1985 - 616 pages
...its most important property A(t) T Figure 7.1 5 The graph of A(t) for t > 0. is about to be revealed: The logarithm of a product is the sum of the logarithms of each of the factors. In symbols, this can be expressed as In(ar) = In a + In / for every a > 0 and... | |
 | Richard Shell - Business & Economics - 2000 - 912 pages
...variables. In these cases, taking the logarithm of the product yields the log-normal distribution, because the logarithm of a product is the sum of the logarithms of its components. Thus, we say that a random variable X is log-normal when its logarithm In X is normal.... | |
 | Robert G. Mortimer - Science - 2000 - 1138 pages
...ln(Q) by ln(Wmp) and substitution into Eq. (21.5-1) gives (21.5-4) where we have used the fact that the logarithm of a product is the sum of the logarithms of the factors and have used Stirling's approximation, shown in Eq. (21.2-16). We now replace gJNj in... | |
 | Phillip I. Good - Mathematics - 2001 - 264 pages
...makes only a very small contribution to the total. Such a variable has the lognormal distribution; as the logarithm of a product is the sum of the logarithms of the individual terms as in its logarithm has a normal distribution. 1 1 .3 Which Hypothesis? Recall... | |
 | Anna Tramontano - Science - 2006 - 196 pages
...(usually base 2) of the ratio between the observed frequencies of occurrence and the expected one. The logarithm of a product is the sum of the logarithms of the factors; hence, another advantage of the log-odd ratio is that we can sum the values instead of... | |
 | John W. Gray - Computers - 1998 - 656 pages
...side. For instance, let us program our own logarithm rules. First just consider the rule that says that the logarithm of a product is the sum of the logarithms of the factors. In[16l:=log[x_ y_l := log[xl + log[yl This is not a definition of a logarithm function... | |
 | Frederick Converse Beach, George Edwin Rines - Encyclopedias and dictionaries - 1912 - 900 pages
...old base and the logarithm of the new base to the old base. Let a*~N, a> = M, then a*+y = .VA/; hence the logarithm of a product is the sum of the logarithms of the factors. Again, (n*)" = ,V" =a" ; whence it is seen that the logarithm ot the xth power of a number... | |
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The logarithm of a product is the sum of the logarithms of its factors. 
