Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. "
Elements of Geometry and Trigonometry - Page 232
by Adrien Marie Legendre - 1838 - 269 pages
Full view - About this book

Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 378 pages
....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 of the numerator minus the logarithm of the denominator. 2. log 35. 7. log 126. 12. log 324. 17. log 1125. 3. log 50. 8. log 196. 13. log 378. 18. log 2625....
Full view - About this book

College Algebra

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...
Full view - About this book

College Algebra

James Harrington Boyd - Algebra - 1901 - 820 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)...
Full view - About this book

Mathematics, mechanics, heat

American School (Chicago, Ill.) - Engineering - 1903
...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 of the 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...
Full view - About this book

Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...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 of the numerator minus the logarithm of the denominator. Assume the equations \ ; whence, \ a' = nj' I; Dividing the assumed equations, а- = ™,ora~' = ??....
Full view - About this book

Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 570 pages
...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 of the 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...
Full view - About this book

A First Course in Algebra ; A Second Course in Algebra

Webster Wells - Algebra - 1908 - 470 pages
...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, of the numerator minus the logarithm of the denominator. Assume the equations a* = m } v. x = log* m> ; whence, a" = n } [y = iogan. Dividing the assumed...
Full view - About this book

Plane Trigonometry

Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...г/ (Def. of log). . •. log M • N = log M + log N (substitution). 89. THEOREM. The logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. Given: The fraction — • To Prove: log — = log .if— log N. NN Proof : Suppose 10* = M] flog...
Full view - About this book

How to Use a Table of Logarithms

Edward Vermilye Huntington - Logarithms - 1912 - 32 pages
...logarithm of the first factor plus the logarithm of the second factor; (2) The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator; (3) The logarithm of the nth power of a number is equal to n times the logarithm of the number; (4)...
Full view - About this book

Plane Trigonometry and Applications

Ernest Julius Wilczynski - Plane trigonometry - 1914 - 296 pages
...of the divisor. The same fact may, of course, be stated in the equivalent form: the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator. According to the third index law (Art. 17, equation (3)), we have ' Therefore, we find from (1) M"...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF