 | William Smyth - Algebra - 1858 - 344 pages
...therefore by adding the logarithm of 5 to that of 7. Since moreover the logarithm of a fraction will be equal to the logarithm of the numerator minus the logarithm of the denominator, it will be sufficient to place in the tables the logarithms of entire numbers. 201. Below we have a... | |
 | Joseph Ray - Algebra - 1852 - 420 pages
...first member to a form in which it shall also be divisible by the same factor. Since the logarithm of a fraction is equal to the logarithm of the numerator, minus the logarithm of the denominator (Art. 361), therefore, . log. (l+x)- log. (l+z)= log. ( 1±? ) . But, by division, we find 'x=l-\-xz... | |
 | Webster Wells - Logarithms - 1878 - 126 pages
...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 minus the logarithm of the denominator. Assume the equations, a* = m ) ( x = log„ m \ whence, \ , a'J — n\ ' I y = loga и »~. ... a*... | |
 | Webster Wells - Algebra - 1879 - 468 pages
...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 to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations, a* = m) , fж = loga m > whence. < -' 6" a' — nj ' \y = \ogan ... a* mm D1v1d1ng.... | |
 | Webster Wells - Algebra - 1880 - 498 pages
...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 to the 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 pages
...123 = 102 x 102-0899 ; .-. logw 12300 = 2 + 2.0899 = 4.0899. § 7. In any system the logarithm of a fraction is equal to the logarithm of the 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 - 298 pages
...Iog7056. 11. Iogl5552. 3. Iog56. 6. Iog567. 9. Iog504. 12. Iogl4406. 96. In any system the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Assume the equations — {• whence, •] — og.m at = n ) (y= logaw т-.. .,. ax m „m Dividing,... | |
 | Robert Hamilton Pinkerton - Trigonometry - 1884 - 194 pages
...the logarithm of the divisor; or (what is the same thing differently expressed) the logarithm of a fraction is equal to the logarithm of the 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 - Algebra - 1885 - 370 pages
...= . 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 numerator minus the logarithm of the denominator. Assume the equations 10*=ml; whence, {^«gm. 10* = n ) ty = logn. Dividing, g_-.,1(,-'_5. _,, . m Whence,... | |
 | Webster Wells - Algebra - 1885 - 376 pages
...= . 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 numerator minus the logarithm of the denominator. Assume the equations ; whence, }« = |«*«. (y = \ogn. ,-.. .,. 10* m , m Dividing, -_ = _, or 10*-'... | |
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... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. 
