 | Webster Wells - 1878 - 124 pàgines
...3 = 3 X log 2 + 2 X log 3 = 0.903090 + 0.954242 — 1.857332. 13. In any system, the logarithm of n fraction is equal to the logarithm of the numerator...logarithm of the denominator. Assume the equations, a* = m ) ( x = log„ m \ whence, \ , a'J — n\ ' I y = loga и »~. ... a* in m Dlviding, ¿p= ~,... | |
 | Webster Wells - 1879 - 468 pàgines
...441. 5. log 84. 8. log 7056. 11. log 15552. 3. log 56. 6. log 567. 9. log 504. 12. log 14406. 456. In any system the logarithm of a fraction is equal...logarithm of the denominator. Assume the equations, a* = m) , fж = loga m > whence. < -' 6" a' — nj ' \y = \ogan ... a* mm D1v1d1ng. — = — , or... | |
 | Webster Wells - 1880 - 498 pàgines
...log 441. 5. log 84. 8. log 7056. 11. log 15552. 3. logSG. 6. log 567. 9. log 504. 12. log 14406. 456. In any system the logarithm of a fraction is equal...logarithm of the numerator minus the logarithm of the denom inator. Assume the equations, al = m\ whence, /* = |°вa» = nj \y = bga ... а* т т Dividing,... | |
 | Henry Nathan Wheeler - 1882 - 60 pàgines
...what is log ]0 12300? 12300 = 100 X 123 = 102 x 102-0899 ; .-. logw 12300 = 2 + 2.0899 = 4.0899. § 7. In any system the logarithm of a fraction is equal...numerator minus the logarithm of the denominator. Proof: If I = bx, m = b>, then is logti = ж, logbm = у ; now — = - = b*-* ; .-. log»— = x —... | |
 | Webster Wells - 1883 - 234 pàgines
...Iog3087. 2. Iog441. 5. Iog84. 8. Iog7056. 11. Iogl5552. 3. Iog56. 6. Iog567. 9. Iog504. 12. log 14406. 96. In any system the logarithm of a fraction is equal...logarithm of the denominator. Assume the equations whence, a" = n ) ty = logaw ТА- -л- a" m , „ m Dividing, — = — , or a*~* = — a" nn Whence, ос... | |
 | Robert Hamilton Pinkerton - 1884 - 194 pàgines
...dividend diminished by the logarithm of the divisor; or (what is the same thing differently expressed) the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. III. The logarithm of the power, positive or negative, of a number — the root of a number being considered... | |
 | Webster Wells - 1885 - 372 pàgines
...log 2 = .3010, log 3 = . 4771, log 5 =.6990, log 7 = .8451 ; find the values of the following : 344. The logarithm of a fraction is equal to the logarithm...of the denominator. Assume the equations ; whence, }« = |«*«. (y = \ogn. ,-.. .,. 10* m , m Dividing, -_ = _, or 10*-' = — 10* nn •M Whence, log... | |
 | Webster Wells - 1885 - 382 pàgines
...log 2 = .3010, log 3 = . 4771, log 5 =.6990, log 7 = .8451 ; find the values of the following : 344. The logarithm of a fraction is equal to the logarithm...logarithm of the denominator. Assume the equations 10*= wence y=logn. =w}; whence, = ?! ) Dividing, = or 10— = -• 10" nn VYL Whence, log — = x —... | |
 | Webster Wells - 1885 - 370 pàgines
...= 9.0601-10 colog. 0946 = 1.0241 9.7951 — 10 = log .6239, Ans. It is evident from the above that the logarithm of a fraction is equal to the logarithm of the numerator plus the cologarithm of the denominator. Or, in general, to find the logarithm of a fraction whose... | |
 | Webster Wells - 1885 - 368 pàgines
...709 = 9.0601 -10 colog. 0946 = 1.0241 9. 7951 -10 = log .6239, Ans. It is evident from the above that the logarithm of a fraction is equal to the logarithm of the numerator plus the cologarithm of the denominator. Or, in general, to find the logarithm of a fraction whose... | |
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... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 
