 Hence the fundamental laws that the logarithm of the product is equal to the sum of the logarithms of the factors and that the logarithm of 1 is 0 do not apply to his tables.  A Treatise on Algebra - Page 164by Benedict Sestini - 1857 - 216 pagesFull view - About this book
 | Colin MacLaurin - Calculus - 1801 - 428 pages
...•j,.is 2E or (by art. 728) +-+- + &c. This likewise follows from the property of logarithms, that the logarithm of the product is equal to the sum of the logarithms of the factors; and consequently the fluxion of the logarithm ofp equal to the sum <>f the fluxions of the... | |
 | L. I. M. Chevigné - Mathematics - 1807 - 294 pages
...gives LY — LWL -{• Lm — L\ ; tut, as the logarithm of unity equals zero, it follows then, that the logarithm of the product, is equal to the sum of the logarithms of the two factors, i Perhaps it is necessary to demonstrate what we have advanced, that four terms be in... | |
 | Charles William Hackley - Trigonometry - 1838 - 328 pages
...necessary to raise the base a, in order to produce the number nri. But nri is the product of n and n. Hence the logarithm of the product is equal to the sum of the logarithms of the multiplier and multiplicand. EXAMPLE. Multiply 2421 by 1613. The logarithm of 2421 is 3.383995 The... | |
 | Charles William Hackley - Trigonometry - 1851 - 536 pages
...to raise the base a, in order to produce the number nn'. But nri is the product of n and n'. Hence the logarithm of the product is equal to the sum of the logarithms of the multiplier and multiplicand. EXAMPLE. Multiply 2421 by 1613. The logarithm of 2421 is 3.28299 The logarithm... | |
 | Arthur Cayley - Mathematics - 1890 - 596 pages
...three of them positive, or any two of them positive and the third negative, E is equal to zero, or the logarithm of the product is equal to the sum of the logarithms of the factors; but that it' the real parts are one of them positive and the other two of them negative, then... | |
 | Arthur Cayley - Mathematics - 1890 - 604 pages
...three of them positive, or any two of them positive and the third negative, E is equal to zero, or the logarithm of the product is equal to the sum of the logarithms of the factors ; but that if the real parts are one of them positive and the other two of them negative, then... | |
 | William Galt Raymond - Logarithms - 1896 - 524 pages
...examples will show the use of the scales : Suppose we wish to find the product of 2 and 3, using scale C. The logarithm of the product is equal to the sum of the logarithms of the two | | |_ rtt Fi0. 85. numbers. Then, if with a pair of dividers we lay off rs — ab = log 2 and... | |
 | College Entrance Examination Board - Mathematics - 1915 - 72 pages
...means of logarithms calculate to four places of decimals the value of 10. 056^0. 87 (6) Prove that the logarithm of the product is equal to the sum of the logarithms of the factors. 4. (a) Derive the formula sm(^+5) = sin A cos B+cos A sin B, where A, B, A-\-B are all acute... | |
 | Stan Gibilisco - Technology & Engineering - 2010 - 434 pages
...including b = 1, although that case is trivial). LOGARITHM OF PRODUCT Let x and y be positive real numbers. The logarithm of the product is equal to the sum of the logarithms of the individual numbers: logb xy = logh x + logh y LOGARITHM OF RATIO Let x and y be positive real numbers.... | |
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