| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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