 | Radio - 1912 - 1052 pages
...second law of indices (fl 33), n H- m = a(Iy), or log. (n -T- m) = x — y = log. n — log. m. That is, the logarithm of a product is equal to the sum of the logarithms of the factors, and the logarithm of a quotient is "found by subtracting the logarithm of... | |
 | Webster Wells, Walter Wilson Hart - Algebra - 1913 - 300 pages
...or a*+s=MN. .-.logaMN=x+y. (§165) Therefore log„ MN= log„ M+ log,, N. Rule. — In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. 1. 1.8079. в. 0.8744. 11. 2.5369. г. 3.3565. 7. 9.9108 10. 12. 9.702210.... | |
 | Alfred Monroe Kenyon, Louis Ingold - Trigonometry - 1913 - 184 pages
...not apply to addition and subtraction. The principles of their application are stated as follows : I. The logarithm of a product is equal to the sum of the logarithms of the factors : log ab = log a + log b. This follows from the fact that if 10¡ = a and... | |
 | Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...The theorem expressed by this formula may obviously be extended to any number of factors. Hence, I. The logarithm of a product is equal to the sum of the logarithms of its factors. From (1) we obtain by division, making use of the second index law (Art.... | |
 | Newfoundland Council of Higher Education - 1914 - 228 pages
...positive integers, find a meaning for aq . Find the value of (16)1* and of (27)~*. (16) 2. Prove that the logarithm of a product is equal to the sum of the logarithms of the factors. Also prove that log ax log b = 1 . (16) 3. Calculate the value of (5-16)7... | |
 | Warren Clarence Young - Slide-rule - 1962 - 100 pages
...(23)2=23.2=2« The properties of logarithms which are comparable to the above laws of exponents are given below. The logarithm of a product is equal to the sum of the logarithms of its factors, all logarithms being taken to the same base. Example, log10 3-2=logi0 3+logi02... | |
 | Hugo Gil Ferreira, M. W. Marshall - Medical - 1985 - 512 pages
...exp(y , ) exp(y2 ) = expCy, + y2 ) If we apply logarithms to both sides = ln(x,) + ln(x2) (25) That is, the logarithm of a product is equal to the sum of the logarithms. In general Thus £|;* ln(xj is an abbreviated form of saying the sum of n terms in which... | |
 | Serge Lang - Mathematics - 1985 - 148 pages
...The logarithm has two simple properties. The first is that log (ab) = log a + log b. In other words, the logarithm of a product is equal to the sum of the logs. If you know the logarithm, you know this property. Now suppose that I take the logarithm of the... | |
 | Virginia Glasgow Koste - Children's plays - 1990 - 76 pages
...radius! REB. The segments connecting consecutive midpoints of a quadrilateral form a parallelogram! WILL. The logarithm of a product is equal to the sum of the logarithm of the parts! YOTTY (cuts off their fevered build, freezes them). —without having to think about it!... | |
 | V.K. Astashev, V.I. Babitsky, M.Z. Kolovsky - Computers - 2000 - 252 pages
...(5.41). Taking the logarithm of the frequency characteristic wo(ja>), and making use of the fact that the logarithm of a product is equal to the sum of the individual logarithms of the components, we obtain A = 20lg|wa(yco)|= 20{lg*0 + lg|l - T -lgco-lg|l-T202+2^../cQ|-lg|Tc... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
