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N .•. def. (2), x— x1 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 (1) to...
An Introduction to Algebra, with Notes and Observations: Designed for the ... - Side 251
av John Bonnycastle - 1829 - 312 sider
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## An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan - 1838 - 391 sider
...x' y a — —, ; and by the definition of logarithms, x— x'=log. or iog-y-li>g- y'=iog. (4-)Hence the logarithm of a fraction, or of the quotient arising...numerator minus the logarithm of the denominator. 453. And if each member of the equation, cf-=y, be raism« J? ed to the fractional power ^, we shall...
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## Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 261 sider
...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=l°g 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed...
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## Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 334 sider
...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 VW=log 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 - 1835 - 359 sider
...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
...Divide equation (1) by (2), N_o*_ N'~^ 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 (1) to the power of n. Nn =a" .-. by def. (2), nx is the logarithm...
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## A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845
...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 (1) to the power of n. N" =a" „•. by def. (2), nx is the logarithm...
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## Higher Geometry and Trigonometry: Being the Third Part of a Series on ...

Nathan Scholfield - 1845 - 232 sider
...Divide equation (1) by (2), N_a* N' a* 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 (1) to the power of n. N" =a" .*. by def. (2), na; is the logarithm...
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## A Treatise on Algebra

Elias Loomis - 1846 - 346 sider
...equal to ==-, ; 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 - 1846 - 346 sider
...equal to ^ ; 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 - 1847 - 503 sider
...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 (1) to the nth power. N"=a". .-. by definition, nx is the logarithm...
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