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" N .-. by definition, x — x" is the logarithm of ^ ; that is to say, The logarithm of a fraction, or of the quotient of two numbers, is equal to the logarithm of the numerator minus the logarithm of the denominator. III. Raise both members of equation... "
Higher Geometry and Trigonometry: Being the Third Part of a Series on ... - Page 81
by Nathan Scholfield - 1845 - 232 pages
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 484 pages
...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~' = ??....
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Algebra for Secondary Schools

Webster Wells - Algebra - 1906 - 570 pages
...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.ź. Dividing the assumed...
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Plane Trigonometry

Daniel Alexander Murray - 1906 - 472 pages
...product of any number of factors is equal to the sum of the logarithms of the factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the numerator diminished by the logarithm of the denominator. (4) The logarithm of the rth root of a number is equal...
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The New International Encyclopaedia, Volume 12

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 928 pages
...The logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. (3) The logarithm of a number affected by an exponent is...
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A First Course in Algebra ; A Second Course in Algebra

Webster Wells - Algebra - 1908 - 470 pages
...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...
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Standard Algebra

William James Milne - Algebra - 1908 - 476 pages
...common base represent exponents of the same number, it follows that: 576. PRINCIPLE. — The logarithm of the quotient of two numbers is equal to the logarithm, of the dividend minus the logarithm of the divisor ; that is, To any base, log (m ч- и) = log m — log...
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Plane Trigonometry

Edward Rutledge Robbins - Logarithms - 1909 - 184 pages
...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...
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The New International EncyclopŠeia, Volume 12

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1909 - 926 pages
...The logarithm of a product is equal to the sum of the logarithms of its factors. (2) The logarithm of the quotient of two numbers is equal to the logarithm of the dividend less the logarithm of the divisor. (3) The logarithm of a number affected by an exponent is...
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Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ...

Stimson Joseph Brown, Paul Capron - Algebra - 1910 - 212 pages
...logarithms; then b x = m, or logj m=x; 6╗=n, or logs n = y. We have whence, by definition, IV. The logarithm of the quotient of two numbers is equal to the logarithm of the dividend minus the logarithm of the divisor. Using the same quantities as in III, we have 2L = b *...
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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)...
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