| George Peacock - Algebra - 1830 - 732 pages
...Log' — ; = log' n — log' n', or the logarithm of the n quotient of two numbers or quantities, is **the logarithm of the dividend diminished by the logarithm of the divisor,** and conversely. (3) Log' np=p log' n, or the logarithm of the pA, or any power of a number is found... | |
| Benjamin Peirce - Algebra - 1837 - 288 pages
...the logarithm of any root of a number is equal to the logarithm of the number divided by the exponent **of the root. 11. Corollary. The equation log. m m'...have, by arts. 11 and 7, log. - = log. 1 — log. n** IV =. — log. n ; that is, the logarithm of the reciprocal of a number is the negative of the logarithm... | |
| George Roberts Perkins - Algebra - 1842 - 360 pages
...respective logarithms ; and (Art. 218) the logarithm of the quotient of one quantity divided by another **is equal to the logarithm of the dividend diminished by the logarithm of the divisor,** we find for the logarithm of our expression 3.75X1.06 log. - - =log. 3.75+log. 1.06-log. 365. By the... | |
| Henry W. Jeans - Trigonometry - 1842 - 138 pages
...product : thus if x=ab then log. A =log. a + log. b. (b) The logarithm of the quotient of any two numbers **is equal to the logarithm of the dividend diminished by the logarithm of the divisor** : thus if x = 7 then log. x = log. a — log. b. If x = — then log. x=log. a+log. b 00 + log. c —... | |
| Benjamin Peirce - Algebra - 1843 - 308 pages
...of the number divided by the ezponent of the root. 13. Corollary. The equation log. m mf = log. m 4- **log. m', gives log. m' = log. m m' — log. m ; that...dividend, diminished by the logarithm of the divisor.** 14. Corollary. We have, by arts. 13 and 9, log. — = log. 1 — log. n = — log. n ; Logarithms in... | |
| Charles Davies - Navigation - 1852 - 412 pages
...member, we have, MM 10m n = i^or, m — n = logjr: hence, The logarithm of the quotient of two numbers, **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** 5. Since the logarithm of 10 is 1, the logarithm of the product of any number by 10, will be greater... | |
| Adrien Marie Legendre - Geometry - 1852 - 436 pages
...have, mn MM 10 -=_r~0r, ra — tt = log-r^: hence, The logarithm of . the quotient of two numbers, **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** 5. Since the logarithm of 10 is 1, the logarithm of the product of any .number by 10, will , be greater... | |
| Charles Davies - Navigation - 1854 - 444 pages
...member, we have, 10m~n = -^or, m — n~logj^: hence, The logarithm of the quotient of two numbers, **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** 5. Since the logarithm of 10 is 1, the logarithm of the product of any number by 10, will be greater... | |
| Charles Davies - Geometry - 1854 - 436 pages
...by member, we have, JO™ »BB_OTjW_Wesi0g— : hence, The logarithm of the quotient of two numbers, **is equal to the logarithm of the dividend diminished by the logarithm of the divisor.** 5. Since the logarithm of 10 is 1, the logarithm of the product of any number by 10, will be greater... | |
| Benjamin Osgood Peirce - Algebra - 1855 - 288 pages
...product diminished by the logarithm of the other factor ; or, in other words, The logarithm «ft/ie **quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor.** 14. Corollary. We have, by arts. 13 and 9, log. — = log. 1 — log. n = — log. n ; that is, the... | |
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