| 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=l°g 3678 — log 100 = 3.565612 — 2 = 1.565612 from which we see, that a mixed... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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