 | Philip Ronayne - Algebra - 1717 - 478 pages
...the Logarithm of of the Product of the faid two (natural ) Numbers : And confequently the Remainder of the Logarithms of any two Numbers, is equal to the Logarithm of the Quotient of the " faid two Numbers ; as alfo twice three times, four times, &c. or one half, one third,... | |
 | John Rowe - Calculus - 1767 - 266 pages
...how a Ci/oid is generated, art. 34. note. t> a—x-\-ca> x Hyp. Log. of a = (becaufe the Difference of the Logarithms of any two numbers is equal to the Logarithm of their ._ . L . 2 Quotient,) — cxxHyp. Log. of - = the Content of the J a — x Solid ABH required.... | |
 | William Trail - Algebra - 1796 - 334 pages
...;-'-<' '-,••',;- --'-I": 3. Hence the properties of logarithms are eafily deduced. I*''The fum of the logarithms of any two numbers is equal to the logarithm of their product. Le-t b and c be the numbers, m and M their logarithms,^ that am—ti^ and a" =<r, then... | |
 | John Bonnycastle - Algebra - 1806 - 234 pages
...them, as one half of the terms will, in that cafe, be entirely deftroyed. Since, therefore, the fum of 'the logarithms of any two numbers is equal to the logarithm of the produit of thofe numbers, it is manifeft that 2_r+ — ц -- &c. will truly exprefs the logarithm of... | |
 | Encyclopaedia Britannica - 1810 - 816 pages
...logarithms of all numbers within certain limits may be applied to Amplify calcular tions : for (ince the fum of the logarithms of any two numbers is equal to the logarithm of their produit ; it follows, that as often as we have occafion to find the produit of two or more numbers,... | |
 | John Bonnycastle - Algebra - 1811 - 230 pages
...either of them, as one half of the terms will, in that case, be entirely destroyed. Since, therefore, the sum of the logarithms of any two numbers is equal...to the logarithm of the product of those numbers, it is manifest that 2x + M«3 Q-r5 1 I 3.' ^— -4 , &c. will truly express the logarithm of ; 9 "1... | |
 | Euclides - 1814 - 560 pages
...the powers of 1 + a, the numbers 3, 4 ; 5, &c. for the same reasons, will fall into the series. 6. The sum of the logarithms of any two numbers is equal to the logarithm of the riroduct of the same two nnmbm Thus if 1 + a raised to the w th power be equal to the number N, and... | |
 | Euclides - 1816 - 588 pages
...the powers of 1 -t. a, the numbers 3, 4, 5, &c. for the same reasons, will fall into the series. 6. The sum of the logarithms of any two numbers is equal to the logarithm of the product of the same two numbers. Thus if 1 .+• a raised to the ntb power be equal to the number N, and if I... | |
 | Encyclopedias and dictionaries - 1816 - 746 pages
...divifion, involution, and evolution, may be performed with.great facility. (*»•) For, fince_ the fum of the logarithms of any two numbers is equal to the logarithm of their product, } 3 ; the product of any two numbers will be found in the table oppofite to that logarithm... | |
 | Encyclopedias and dictionaries - 1823 - 856 pages
...logarithms of all numbers within certain limits may be applied to simplify calculations ; for since the sura of the logarithms of any two numbers is equal to the logarithm of their product, it follows, that as often as we have occasion to find the product of two or more numbers,... | |
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The sum of the logarithms of any two numbers is equal to the logarithm of their product. Therefore, the addition of logarithms corresponds to the multiplication of their numbers. 
