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" The logarithm of the product of two numbers is equal to the sum of the logarithms of the numbers. "
National Society's Monthly Paper - Página 55
1855
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Community Analysis and Planning Techniques

Richard E. Klosterman - 1990 - 262 páginas
...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) = log (10)...
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Fluid, Electrolyte, and Acid-base Regulation

Jack L. Keyes - 1990 - 239 páginas
...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,...
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Principles and Applications of Mathematics for Communications-electronics

1992
...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....
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Progress In Astronautics and Aeronautics: Satellite Communications In the ...

Takashi Iida - 2003 - 205 páginas
...engineers go to all this trouble? One reason is a property of logarithms that says that the logarithm of a product of two numbers is equal to the sum of their logarithms, and the logarithm of the ratio of two numbers is the difference of their logarithms. Because it is easier to add and subtract...
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Isc Business Mathematics

...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 (1) and (2),...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...base 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...
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A Textbook of Biotechnology Vol-II

Rehana Khan - 2007 - 315 páginas
...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...
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