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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 - 284 pages

## New High School Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1912 - 504 pages
...(a*)" = Ж», or a>" = J/p. .-. logM" = px. Therefore, . log M" = p log„ M. Rule. — In any system, the logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent indicating the power. ' EXAMPLE 1. Given log 7 = .8451, find log 75. SOLUTION : log 76 = б log 7 =...

## Elementary Algebra

John William Hopkins, Patrick Healy Underwood - Algebra - 1912 - 362 pages
...is the logarithm of the dividend minus the logarithm of the divisor. II The logarithm of a power is the logarithm of the number multiplied by the exponent of the power. Ill Thus log 15 = log 5 + log 3, log f = log 5 - log 7, log 173 = 3 log 17, log V2 = log 2*=J log 2,...

## Second Course in Algebra

Webster Wells, Walter Wilson Hart - Algebra - 1913 - 362 pages
...Also, (aIY — Mp, or ар1 = Мр. .: logM"=px. Therefore, log M"=p loga M. Rule. — In any system, the logarithm of any power of a number is equal to...logarithm of the number multiplied by the exponent indicating the power. EXAMPLE 1. Given log 7 = .8451, find log 75. SOLUTION : log 76 = б log 7 = 5...

## Plane and Sperical Trigonometry (with Five-place Tables): A Text-book for ...

Robert Édouard Moritz - Trigonometry - 1913 - 560 pages
...quantity which is to be raised to the nth power, nx is the logarithm of the resulting power; hence, The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power to which it is to be raised, or If P = Nn, log P = n log N. Thus log 35 = 5 log...

## Elementary Algebra Revised

Frederick Howland Somerville - Algebra - 1913 - 458 pages
...x = log m and y = log n. (Art. 438) Hence, in (3), log - = log m - log n. n 455. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Let 10* = m. (1) Raising both members of the equation to the pth power, !*/>* = mf. Whence, log m'...

## The Mathematical Theory of Investment

Ernest Brown Skinner - Annuities - 1913 - 264 pages
...logay = «, or x= a"' and y = a". C onsequently, xy = am+a and \oz = m + n = lo IV. The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. Let x be the number, n the exponent of the power, and l the logarithm of x. Then we have l = \ogax,...

## Plane Trigonometry and Tables

George Wentworth, David Eugene Smith - Plane trigonometry - 1914 - 348 pages
...0.11 x Щ' 7.03 x 0.7281' 58. Raising to a Power. It has been shown (§ 42) that the logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent. 1. Find by logarithms the value of 11*. From the tables, log 11 =1.04139 Multiplying by 3, . 3 log...

## Mathematics for Agricultural Students

Henry Charles Wolff - Mathematics - 1914 - 332 pages
...u= a*, Then ua = a"x, or logo un = nx, or Iog0 u" = n loga u. Thus the theorem: The logarithm of the power of a number is equal to the logarithm of the number multiplied by the index of the power. root of a number is equal to the logarithm of the number divided by the index of...