 | George Peacock - Algebra - 1845 - 474 pages
...find (Art. 635) ( 1 ) a* x af = a'+*' = n n', where x + x' is the logarithm of n n' : in other words, the logarithm of a product is the sum of the logarithms of its factors. (2) — =ar~*'= — , where x' — x is the logarithm of —, : in other words, the logarithm... | |
 | Georg Freiherr von Vega - Logarithmic functions - 1857 - 618 pages
...10»-* = , or log AB = a + b, log 4 = a— b, log Ac = ca, log VÂ = — Jj С from which we see that the logarithm of a product is the sum of the logarithms of the factors, the logarithm of a quotient the difference between the logarithms of the dividend and divisor, and... | |
 | William John Macquorn Rankine - Engineering - 1866 - 342 pages
...377°° 4-57634 377° 3-57634 377 2-57634 377 1-57634 3•77 0-57634 •377 I-57634 •0377 •00377 29. The logarithm of a product is the sum of the logarithms of its factors. 30. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 372 pages
...3-57634 377 2-57634 37-7 1-57634 3-77 0-57634 -377 1-57634 -0377 2-57634 -00377 3-57634 and so on. 11. The logarithm of a product is the sum of the logarithms of its factors. 12. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | William John Macquorn Rankine, Edward Fisher Bamber - Mechanical engineering - 1873 - 368 pages
...3-57634 377 2-57634 37-7 1-57634 3-77 0-57634 •377 1-57634 -0377 2-57634 -00377 3-57634 and so on. 11. The logarithm of a product is the sum of the logarithms of its factors. 12. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
 | C R. Lupton - 1879 - 194 pages
...-06. _ '• ~ log 1-05 ~ -02118 PAPERS ON LOGARITHMS. PAPER 1. (1) Define a logarithm, and prove that the logarithm of a product is the sum of the logarithms of the factors. Explain how in the common system of logarithms the characteristic may be found by inspection. Given... | |
 | George Albert Wentworth - Algebra - 1881 - 400 pages
...on the position of the decimal point. 304. As logarithms are simply exponents (§ 294), therefore, The logarithm of a product is the sum of the logarithms...factors. Thus, log 20 = log (2 X 10) = log 2 + log 10 = 0.3010 + 1.0000 = 1.3010; log 2000 = log (2 X 1000) = log 2 + log 1000, = 0.3010 + 3.0000 = 3.3010... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...in the fact that the mantissa depends only on the sequence of digits, and the characteristic on the position of the decimal point. 411. As logarithms...factors. Thus, log 20 = log (2 x 10) = log 2 + log 10 = 0.3010 + 1.0000 = 1.3010 ; log 2000 = log (2 x 1000) = log 2 + log 1000, = 0.3010 + 3.0000 = 3.3010... | |
 | George Albert Wentworth, Thomas Hill - Arithmetic - 1882 - 376 pages
...in the fact that the mantissa depends only on the sequence of digits, and the characteristic on the position of the decimal point. 411. As logarithms...therefore (§ 148), The logarithm of a product is the sur/i of the logarithms of the factors. Thus, log 20 = log (2 x 10) = log 2 + log 10 = 0.3010 + 1.0000... | |
 | William John Macquorn Rankine - 1883 - 454 pages
...3770 377 2-57634 377 3'77 0-57634 '377 I-57634 •0377 2-57634 •00377 3-57634 • and so on. 29. The logarithm of a product is the sum of the logarithms of its factors. 30. The logarithm of a power is equal to the logarithm of the root multiplied by the index... | |
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The logarithm of a product is the sum of the logarithms of the factors. 
