Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
An Elementary Treatise on Algebra: To which are Added Exponential Equations ... - Page 262
by Benjamin Peirce - 1837 - 288 pages
Full view - About this book

A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806 - 526 pages
...explained in the Arithmetic, Art. 161, 187, thus; Since /xr*—1 = /, therefore r"~~l = -f : and because the logarithm of any power of a number is equal to the logarithm of that number multiplied by the index or exponent denoting the power (187 Arith.) therefore (72 — l)...
Full view - About this book

A Course of Mathematics: Designed for the Use of the Officers and ..., Volume 2

Isaac Dalby - Mathematics - 1813 - 532 pages
...e*I>lained in the Arithmetic, Art. 161, 187, thus: Since/" xr " " =: /, therefore r" " =^.: and because the logarithm of any power of a number is equal to the logarithm °f that number multiplied by the index or exponent denoting tiiepower(187- Arith.) therefore (n —...
Full view - About this book

Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 13

Encyclopedias and dictionaries - 1816
...is the logarithm of _ a ; and fince n may be either a whole number, or a fraction, it follows, that the logarithm of any power of a number is equal to the logarithm of that number, multiplied by the exponent of the power ; alfo, that the logarithm of any root of a number...
Full view - About this book

A Theoretical and Practical Arithmetic: In which the Principles of that ...

Bézout - Arithmetic - 1825 - 236 pages
...The sum of the logarithms of two numbers is equal to the logarithm of their product, number 227. 92. The logarithm of any power of a number is equal to the logarithm of that number, multiplied by the index of the power, number 228. 93. The logarithm of the root of a number...
Full view - About this book

The London encyclopaedia, or, Universal dictionary of ..., Part 1, Volume 13

Thomas Curtis (of Grove house sch, Islington) - 412 pages
...is the logarithm of о *; and, since n may be either a whole number or a fraction, it follows, that the logarithm of any power of a number is equal to the logarithm of that number, multiplied by the exponent of the power ; also, that the logarithm of any root of a number...
Full view - About this book

Elements of Algebra

William Smyth - Algebra - 1833 - 288 pages
...raising both members to the mth power, we have amx — ytn whence the logarithm of yx= mx = m log y. That is, the logarithm of any power of a number is equal to the product of the logarithm of this number by the exponent of the power. To form any power whatever of...
Full view - About this book

A system of popular trigonometry

George Darley - 1835 - 142 pages
...numbers is equal to the difference of their logarithms, 7ART. 5. The logarithm of the power of any number is equal to the logarithm of the number multiplied by the index of the power, 8. AHT. 6. The logarithm of the root of any number is equal to the logarithm of...
Full view - About this book

A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 362 pages
...we shall have, by supposing the logarithms of both members known, 1.6* = lr It has been shown, that the logarithm of any power of a number, is equal to the logarithm of the number ilself, multiplied by the exponent of the power (111) ; hence. \.b* = x \.b, and therefore we have,...
Full view - About this book

An Elementary Treatise on Algebra: To which are Added Exponential Equations ...

Benjamin Peirce - Algebra - 1837 - 288 pages
...to each other, we have log. mmm &c. = log. m -f- log. m -\- log. m -|- &.c. or log. mn = n log. TO ; Logarithm of Root, Quotient, and Reciprocal. that...exponent of the power. 10. Corollary. If we substitute m = Vp, in the above equation, it becomes log. p = n log. or , " log. n log. V>= -~n that is, the logarithm...
Full view - About this book

The elements of algebra

Andrew Bell (writer on mathematics.) - 1839 - 498 pages
...= - or e"' = -; and hence x — ж'= l ~, У У1 У' or l?L = ly — ty (503.) ' The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power.1 If ax = y, then а«.т = yn ; and therefore nx = lyn, or ly" = nly (504.) ' The logarithm...
Full view - About this book




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