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" Y, and x+y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, To multiply two or more numbers by using logarithms: Rule. "
Principles of the Differential and Integral Calculus ... - 93. lappuse
autors: William Ritchie - 1836 - 174 lapas
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Proceedings of the American Association for the Advancement of ..., 7. sējums

American Association for the Advancement of Science - 1856 - 344 lapas
...value of C into the equation of the curve obtained above, dividing by tang, p, and recollecting that the difference of the logarithms of two numbers is equal to the logarithms of their quotient, we reduce it to the very simple form, -_.. tang, p R The following spirals...
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Proceedings, 7. sējums

American Association for the Advancement of Science - 1856 - 354 lapas
...value of C into the equation of fhe curve obtained above, dividing by tapg. p, and recollecting that the difference of the . logarithms of two numbers is equal to the logarithms of their quotient, we reduce it to the very simple form, __ .. tang, pi R The following...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., 2. daļa

Joseph Ray - 1852 - 422 lapas
...logarithms, x-\-x', the exponent of a, is the logarithm of NN' ; hence, we have PROPERTY I. — The sum of the logarithms of two numbers is equal to the logarithm of (heir product. It may be shown similarly that the sum of the logarithms of three or more factors, is...
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Elements of Algebra: For Colleges, Schools and Private Students

Joseph Ray - 1866 - 420 lapas
...of logarithms, 7 and x-\-x' are the logarithms of 10000000 and of NN' respectively. Hence, The sum of the logarithms of two numbers is equal to the logarithm of their product. Similarly, the sum of the logarithms of three or more factors, is equal to the logarithm...
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New Practical Algebra: Adapted to the Improved Methods of Instruction in ...

James Bates Thomson - 1878 - 322 lapas
...Ans. 0.002038. 453. Computations by logarithms are based upon the following principles : i°. The sum of the logarithms of two numbers is equal to the logarithm of their product. Let a and c denote any two numbers, m and n their logarithms, and 6 the base. Then b"...
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The Collegiate Algebra: Adapted to Colleges and Universities

James Bates Thomson, Elihu Thayer Quimby - 1880 - 360 lapas
...numbers are used as factors may be made by logarithms upon the following principles : i°. Tlie sum of the logarithms of two numbers is equal to the logarithm of their product. Let a and e denote any two numbers, m and n their logarithms, and b the base. Then frm...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1886 - 640 lapas
...at P ; show that PC and PD are equal. (20). Section C. Show that in any system of logarithms the sum of the logarithms of two numbers is equal to the logarithm of the product of the numbers. Find the logarithm of 97'9418 x 0'0063864, and the 7th ). (25.) 34. What is...
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Mechanics' Pocket Memoranda: A Convenient Pocketbook for All Persons ...

International Correspondence Schools - 1900 - 394 lapas
...the product of X and Y, and x + y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, To multiply two or more numbers by using logarithms: Rule. — Add the lo9arithms...
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The Mechanics' Handbook: A Convenient Reference Book for All Persons ...

International Correspondence Schools - 1904 - 392 lapas
...the product of X and Y, and x + y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, To multiply two or more numbers by using logarithms: Rule.— Add the logarithms...
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Arithmetic: Elements of Algebra. Logarithms. Geometrical Drawing

International Correspondence Schools - 1906 - 576 lapas
...the product of A' and Y, and x + y is the sum of their logarithms; from which it follows that the sum of the logarithms of two numbers is equal to the logarithm of their product. Hence, 30. To multiply two or more numbers by using logarithms: Rule. — Add the logarithms...
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