 | Joseph Eugene Rowe - Mathematics - 1927 - 304 pages
...we obtain : (6) logaMN = \ogaM This formula expressed in words is equivalent to the statement that the logarithm of the product of two numbers is equal to the sum of the logarithms. It follows from this that the logarithm of the product of a set of numbers is equal to the sum of the... | |
 | W. G. Borchardt, A. D. Perrott - Trigonometry - 1928 - 492 pages
...Number Logarithm 1-433 1-540 •1563 •1875 •2500 1-778 •A/1-4 1-5 1-6 Numbers 1-7 56. Theorem I. The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Let logra = #, .-. m = 10*, log n = y, .'. n= 10", .'. log (ran) = ж + у = log ra + log... | |
 | Education - 1909 - 1288 pages
...question from each of the groups A, B, C. A. 1. (a) Logi 64=3: find the value of a. (6) Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 2. Prove the identity (sin 0+cos 8) (tan 0+cot 6) =sec 0+cosec 0 3. Show that sin (—390°... | |
 | Warren Clarence Young - Slide-rule - 1962 - 100 pages
...expressed, it is understood to be 10. Pages 60-64. The first property of logarithms given above states that the logarithm of the product of two numbers is equal...to the sum of the logarithms of the two numbers. If you read these pages carefully, you will see that when you multiply two numbers using the C and D scales... | |
 | Jack L. Keyes, Keyes - Medical - 1990 - 260 pages
...the Henderson equation. First, take the logarithm of both sides of Equation 5-12, (5-13) J The log of the product of two numbers is equal to the sum of the logarithms of the two numbers, hence, (5-14) •[B-] " [B-] Substituting Equation 5-14 into 5-13, , L*"^J /C 1 C "\ multiplying by... | |
 | Richard E. Klosterman - Business & Economics - 1990 - 298 pages
...following laws of logarithms can be applied to the logarithms of products, ratios, and exponents: 1 . The logarithm of the product of two numbers is equal to the sum of their logarithms: log (ab) = log a + log b For example, log (10 x 100) = log (10) + log (100) log (1,000)... | |
 | Electrical engineering - 1992 - 270 pages
...of the positive logarithm. 12.8686—10 3.7980—10 9.0706 121. Multiplication by Use of Logarithms The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. Thus, log (2 x 6) = log 2 + log 6; and log (12 X 8) = log 12 + log 8. Example 1 : Multiply... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...of a right-angled triangle, in which the perpendicular is 127 and the hypotenuse 325. 9. Prove that the logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers themselves. Find A, when 10 tan A = 7 sin 15° 30'. 10. In the triangle ABC, if B = 57° 45',... | |
 | Rehana Khan - Bioengineering - 2007 - 328 pages
...substitute for the term "index", the laws of logarithms can be easily deduced from the laws of indices. /. Logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers to quantities, Le.. Proof. Let loga m = x so that of = m ...(I) and loga n = y so that c^ =... | |
 | 890 pages
...always positive and not equal to one. 4.2. Laws of logarithm (i) logu (mx /i) = logam + log,/! ie, the logarithm of the product of two numbers is equal to the sum of their logarithms. Proof : Let logam = x and loga/i = у :. a? = m ... (1) and a? = n ... (2). Multiplying... | |
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The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. 
