 | Webster Wells - Algebra - 1904 - 384 pages
...EXAMPLES. Given log 2 = .3010, log 3 = .4771, log 5 = .6990, and log 7 = .8451, find: 398. In any system, the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. г. log 35. 7. log 126. 12. log 324. 17. log 1125. 3. log 50. 8. log 196. 13. log 378. 18. log 2625.... | |
 | Webster Wells - Algebra - 1897 - 386 pages
...9.0601 - 10 colog .0946 = 1.0241 9.7951 - 10 = log .6239, Ana. It is evident from the above example that the logarithm of a fraction is equal to the logarithm of the numerator phu the cologarithm of the denominator. Or in general, to find the logarithm of a fraction whose terms... | |
 | Webster Wells - Algebra - 1897 - 522 pages
...9.0601 -10 colog .0946 = 1.0241 9.7951 - 10 = log .6239, Ans. It is evident from the above example 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 terms... | |
 | Webster Wells - Algebra - 1897 - 422 pages
...- 10 colog .094Ü = 1.0241 9.7951 - 10 = log .6239, Ans. It is evident from the above example 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 terms... | |
 | James Harrington Boyd - Algebra - 1901 - 818 pages
...+ logap. [(6)] E. g. Loge 42= loge (2x3x7) = loga2+loga3 + loga7. 6. The logarithm of aj '¡-action is equal to the, logarithm of the numerator minus the logarithm of the denominator. Thus m — loga Proof. — Let — be the fraction, and suppose (1) m = a*, and (2) n = о». By ?55б... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...loga/>. [(6)] E. g. Log0 42 = Iog0 (2x3x7) = loge2+loga3 + log07. 6. The logarithm of a fraction it equal to the logarithm of the numerator minus the logarithm of the denominator. Thus bga ^ = loga m — logan. Proof. — Let •- be the fraction, and suppose (1) m = a-, and (2)... | |
 | American School (Chicago, Ill.) - Engineering - 1903 - 390 pages
...loga mn = x-\- y Substituting for a; and y their values, loga mn = loga m -f- loga n 62. In any system the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Assume ax = m (1) J Then ( loga m = x And a" = n (2) j by § 56 j loga n = y Divide equation (1) by... | |
 | Webster Wells - Algebra - 1906 - 484 pages
...315. 8. log 1225. 11. log 2646. 3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 422. In any system, the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Assume the equations \ ; whence, \ a' = nj' I; Dividing the assumed equations, а- = ™,ora~' = ??.... | |
 | Webster Wells - Algebra - 1906 - 550 pages
...315. 8. log 1225. 11. log 2646. 3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 422. In any system, the logarithm of a fraction is equal to the logarithm...numerator minus the logarithm of the denominator. Assume the equations a' = m } (x = t ; whence, \ o» = » Г \y = x = log.m, log.«. Dividing the assumed... | |
 | Webster Wells - Algebra - 1908 - 456 pages
...315. 8. log 1225. и. log 2646. 3. log 84. 6. log 392. 9. log 1372. 12. log 24696. 88. In any system, the logarithm of a fraction is equal to the logarithm,...numerator minus the logarithm of the denominator. Assume the equations a* = m } v. Í x = log* m> ; whence, a" = n } [y = iogan. Dividing the assumed... | |
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... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 
