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" The logarithm of the quotient is equal to the logarithm of the dividend, diminished by the logarithm of the divisor. "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Página 266
por Benjamin Peirce - 1843 - 284 páginas
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A Treatise on Algebra

George Peacock - 1830 - 685 páginas
...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...
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An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - 1837 - 276 páginas
...of the number divided by the exponent of the root. 11. Corollary. The equation log. m m' = log. m + log. m', gives log. m' = log. mm' — log. m ; that...dividend, diminished by the logarithm of the divisor. 12. Corollary. We have, by arts. 11 and 7, log. - = log. 1 — log. n ¥1 = — log. n ; Logarithms...
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Plane and Spherical Trigonometry ...

Henry W. Jeans - 1842
...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 —...
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A Treatise on Algebra: Embracing, Besides the Elementary Principles, All the ...

George Roberts Perkins - 1842 - 360 páginas
...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...
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An Elementary Treatise on Algebra

Benjamin Peirce - 1851 - 284 páginas
...of the number divided by the exponent of the root. 13. Corollary. The equation log. mm, = log. m -f- log. m,, gives log. m' = log. mm' — log. m ; that...Logarithms in different Systems. 15. Corollary. Since rero is the reciprocal of infinity, we have in log. 0 = — log. oo = — oo ; that is, the logarithm...
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ELEMENTS OF GEOMETRY AND TRIGONOMETRY

A. M. LEGENDRE - 1852
...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...
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Elements of Surveying and Navigation: With Descriptions of the Instruments ...

Charles Davies - 1852 - 392 páginas
...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...
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Elements of Surveying, and Navigation: With Descriptions of the Instruments ...

Charles Davies - 1854 - 322 páginas
...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...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1854 - 432 páginas
...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...
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An Elementary Treatise on Algebra: To which are Added Exponential Ewquations ...

Benjamin Peirce - 1855 - 288 páginas
...is, the logarithm of one factor of a product is equal to the logarithm of the product diminished hy the logarithm of the other factor ; or, in other words,...and 9, log. — = log. 1 — log. n — — log. n ; that is, the logarithm of Hie reciprocal of a number is the negative of the Lugui ithrn of the number....
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