 | George D. Pettee - Geometry, Modern - 1896 - 272 pages
...7.11548—10 10. 0.12345 Treatises on algebra establish the following principles concerning logarithms: 11. The logarithm of a product is equal to the sum of the logarithms of all its factors. 12. The logarithm of a quotient is equal to the logarithm of the dividend minus the... | |
 | Webster Wells - Trigonometry - 1896 - 236 pages
...limit 0, its logarithm is negative, and increases without limit in absolute value. 75. In any system, the logarithm of a product is equal to the sum of the logarithms of its factors. Assume the equations a* = m) , , , n* (x = loga 'in, . ; whence by § 66, \ . ь a* =... | |
 | United States. Bureau of Naval Personnel - Surveying - 1955 - 396 pages
...3< 30 n 3 •s n aa aI ao. 19 IB 11 15 '3 la n JO 1 9 3 o Co*. D. 1". Sin. D. I". Cot. D. 1". Tan. M LOGARITHM OF A PRODUCT IS EQUAL TO THE SUM OF THE LOGARITHMS OF THE FACTORS, (2) THE LOGARITHM OF A RATIONAL FRACTION IS EQUAL TO THE LOGARITHM OF THE NUMERATOR MINUS THE LOGARITHM... | |
 | 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 The logarithm... | |
 | 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 each of the... | |
 | 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... | |
 | V.K. Astashev, V.I. Babitsky, M.Z. Kolovsky - Computers - 2000 - 252 pages
...function (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... | |
 | D. Duffield - Mathematics - 2001 - 196 pages
...logv 125 = ; (c) lnx= 1,792 (d) log216=x (e) logx 128 = 7 2.4 The laws of logarithms 2.4.1 Product law The logarithm of a product is equal to the sum of the logarithms: logb xy — logb x + logby also ln xy — ln x + ln y 2.4.2 Quotient law The logarithm of a quotient... | |
 | Paul A. Foerster - Mathematics - 2003 - 808 pages
...Logarithm of a Product: log,, (xy) = logb x + logs y Verbally: “The logarithm of a product equals the sum of the logarithms of the factors.” The Logarithm of a Quotient: log¿¿ = log¿x — log¿y Verbally: “The logarithm of a quotient equals the logarithm of the numerator... | |
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The logarithm of a product is equal to the sum of the logarithms of its factors. 
