 | Charles Davies - 1839 - 376 pàgines
...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... | |
 | Charles Davies - 1839 - 376 pàgines
...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... | |
 | William Foster - 1840 - 92 pàgines
...yyy"....=a xa xa . ...=a and log yy'y" .... = x±x '+.Г* ---- = log. y + log. y' + log. y" + &c. 7. The logarithm of a fraction is equal to the logarithm of the numerator — the logarithm of the denominator. For, if a be the base, and x and x the logs of y an d y', then... | |
 | Charles Davies - 1835 - 388 pàgines
...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 - 542 pàgines
...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... | |
 | Nathan Scholfield - 1845 - 894 pàgines
...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... | |
 | Nathan Scholfield - 1845 - 244 pàgines
...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... | |
 | Elias Loomis - 1846 - 380 pàgines
...160 = 4* + 1, log. 16000 = log. 1600 = 4i + 2, log. 160000 =, &c. We have seeri, in Art. 323, that the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Hence, log. (y) = log. 5 = 1 — x. Hence, log. 50 = 2 — x, log. 5000 = log. 500 =3 — x, log. 50000... | |
 | Elias Loomis - 1846 - 376 pàgines
...160 = 4ж + 1, log. 16000 = log. 1600 = 4* + 2, log. 160000 —, &c. We have seen, in Art. 323, that the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Hence, log. (y) = log. 5 = 1 — x. Hence, log. 50 = '2 — x, log. 5000 = log. 500 =3 — x, log.... | |
 | Charles William Hackley - 1847 - 546 pàgines
...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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... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 
