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" N .-. by definition, x — x" is the logarithm of ^ ; that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 81
by Nathan Scholfield - 1845 - 232 pages
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Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - Surveying - 1839 - 376 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VoV=lg 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed...
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Elements of Surveying, and Navigation: With a Description of the Instruments ...

Charles Davies - Navigation - 1835 - 359 pages
...equal to the quotient obtained by dividing the numerator by the denominator, its logarithm will be equal to the logarithm of the numerator minus the logarithm of the denominator. Therefore, log VlV=log 878 — log 100 = 3.565012 — 2 = 1.565612 from which we see, that a mixed...
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

Nathan Scholfield - 1845 - 896 pages
...is equal to the sum of the logarithms of these factors. II. Divide equation (1) by (2), N_o*_ N'~^ The logarithm of a fraction, or of the quotient of...Raise both members of equation (1) to the power of n. Nn =a" .-. by def. (2), nx is the logarithm of N ", that is to say, The logarithm of any power of a...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...is to say, Tlie logarithm of a fraction, or of the quotient oftimnumbers, is equal to the logaritlim of the numerator minus the logarithm of the denominator. III. Raise both members of equation (1) to the nth power. N"=a". .-. by definition, nx is the logarithm of N ; that is to say, The logarithm of...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...II. Divide equation (1) by (2). .•. by definition, x — z7 is the logarithm of ^ ; that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logaritfim of the numerator minus the logarithm of the denominator. III. Raise both members of equation...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 542 pages
...by (2). N_o N'=o" =a'-". .•. by definition, x — x1 is the logarithm of ^r; ; that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to On: logarithm of the numerator minus the logarittim of the denominator. III. Raise both members of...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...that is to say, The logarithm of a fraction, or of the quotient of one, number divided by another, is equal to the logarithm of the numerator' minus the logarithm of the denominator. Hence we see that if we wish to divide one number by another, we have only to subtract the logarithm...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...; that is to say, The logarithm of a fraction, or of the quotient of one number divided by another, is equal to the logarithm of the numerator, minus the logarithm of the denominator. Hence we see that if we wish to divide one number by another, we have only to subtract the logarithm...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1847 - 503 pages
...II. Divide equation (1) by (2). N .-. by definition, x — x" is the logarithm of ^ ; that is to say, The logarithm of a fraction, or of the quotient of...denominator. III. Raise both members of equation (1) to the nth power. N"=a". .-. by definition, nx is the logarithm of N ; that is to say, The logarithm of...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...PQKS = cf. af . a' . a" = a"+'+„ + „; hence log.PQBS = (2) The logarithm of a fractional quantity is equal to the logarithm of the numerator minus the logarithm of the denominator. Let a" = P and a* = Q, then x = }ogje and y = log.Q ; hence Q ~ u-- - ' .-. log,- — xy — log.P—...
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