Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. "
An elementary Treatise on Logarithms - Page 2
by William Henry Johnstone - 1859
Full view - About this book

An Analytical Treatise on Plane and Spherical Trigonometry, and the Analysis ...

Dionysius Lardner - Plane trigonometry - 1828 - 434 pages
...• • • • = B'(nB'""-', vl(nn'n" • •••) = In + M + In" •••• which shows that " the logarithm of the product of any numbers is equal to the sum of their logarithms." Again, let one of the equations be divided by another, n But also, n' That is, "...
Full view - About this book

Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval ...

William Chauvenet - Binomial theorem - 1843 - 102 pages
...produce b. • PROPERTIES OP LOGARITHMS IN GENERAL. 60. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. For let b, c, d, &c. be any numbers, and a the base of any system of logarithms, then we have by the...
Full view - About this book

Algebra for High Schools and Colleges: Containing a Systematic Exposition ...

James B. Dodd - Algebra - 1859 - 368 pages
...1 is the logarithm of a. Logarithm of a Product. (308.) The Logarithm of the product of two or more numbers, is equal to the sum of the logarithms of those numbers. In the equations ax=n and av=m, the exponents, x and y, are the logarithms of' n and m, for the base...
Full view - About this book

A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...of logarithms. Properties of Logarithms in general. 396. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. Let a denote the base of the system; also, let m and n be any two numbers, and x and y their logarithms....
Full view - About this book

The Normal Elementary Geometry: Embracing a Brief Treatise on Mensuration ...

Edward Brooks - Geometry - 1868 - 284 pages
...the principle. Thus, the log. of .458 is 1.660865. PRIN. 4. — The logarithm of the product of two numbers is equal to the sum of the logarithms of those numbers. For, let M and'JVbe any two numbers, and m and n their logarithms ; then we shall have, according to...
Full view - About this book

A Treatise on Algebra

Elias Loomis - Algebra - 1873 - 396 pages
...of logarithms. Properties of Logarithms in general. 396. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. Let a denote the base of the system ; also, let m and n be any two numbers, and x and y their logarithms....
Full view - About this book

An Elementary Algebra

Daniel Barnard Hagar - Algebra - 1873 - 278 pages
...is written instead of —1, 2 instead of —2, etc. 3. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. For, let m and n be any two numbers, x and y their respective logarithms, and a the base of the system....
Full view - About this book

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - Conic sections - 1877 - 458 pages
...same quantity are multiplied by adding their exponents, the logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. Also, since powers of the same quantity are divided by subtracting their exponents, the logarithm of...
Full view - About this book

The Normal Elementary Algebra: Containing the First Priniples of the Science ...

Edward Brooks - Algebra - 1888 - 344 pages
...of the base of a system of logarithms ł unity. PRIN. 3. The logarithm of the product of two or more numbers is equal to the sum of the logarithms of those numbers. For, let m = log M, and n = log N. Then, £-»=Д/, £» = Ж Multiplying, £"+" = Л/хЛг. Hence...
Full view - About this book

Elementary Mathematical Analysis: A Text Book for First Year College Students

Charles Sumner Slichter - Functions - 1914 - 520 pages
...loga nr = x + y or, by (1) loga nr = Iog0 n + loga r (3) Hence, the logarithm of the product of two numbers is equal to the sum of the logarithms of those numbers. In the same way, if log,, s =z , then: nrs = aI+"+* that is, loga nrs = loga n + logo r + log« s Exercises...
Full view - About this book




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