| 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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