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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 - 276 pages

## Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 664 pages
...logi 1=0. Eg, logs 4 = 2, and Iog2 J = - 2. 19. 27ге logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power; or, log (m") = p log m. Let logi m = x, then bf = m. Raising both sides of the last equation to the...

## Complete Secondary Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 340 pages
...logj 1=0. Eg, log, 4 = 2, and log2 i = - 2. 10. The logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the exponent of the power ; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation to the...

William James Milne - Algebra - 1901 - 464 pages
...logarithms. Since logarithms are simply exponents, it follows that: 472. PRINCIPLE. — The logarithm of a power of a number is equal to the logarithm of the number multiplied by the index of the power; that is, To any base, log m" = n log m. The above principle may be established...

## Higher Algebra

George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1901 - 646 pages
...1=0. jB.gr., logj 4 = 2, and Iog2 \ = - 2. 19. Tfie logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the ex2)onent of the power; or, log (m") = p log m. Let logi m = x, then b* = m. Raising both sides of...

## Complete Secondary Algebra

George Egbert Fisher - 1901 - 622 pages
...1=0. E. д., Iog2 4 = 2, and Iog2 J = - 2. 10. Tlie logarithm of any power, integral or fractional, of a number is equal to the logarithm of the number multiplied by the t of the power; or log m" = p log m. Let logj m = x, then b* = m. Raising both sides of the last equation...

## College Algebra

James Harrington Boyd - Algebra - 1901 - 818 pages
...ALGEBRA [22575, 576 575. Powers. — -We know that the logarithm of a number raised to a given power is the logarithm of the number multiplied by the exponent of the power. EXAMPLES. 1. Calculate Here Hence, 2. Calculate Here Hence, 3. Calculate x = o . log x = 8 log 5 log...

## College Algebra

James Harrington Boyd - Algebra - 1901 - 816 pages
...= 404367.3 321 575. Powers. — "We know that the logarithm of a number raised to a given power is the logarithm of the number multiplied by the exponent of the power. EXAMPLES. 1. Calculate x = 5*. Here Hence, 2. Calculate Here Hence, 3. Calculate log x = 8 log 5 log...

## The Elements of Plane and Spherical Trigonometry

Thomas Ulvan Taylor, Charles Puryear - Trigonometry - 1902 - 242 pages
...division, a Therefore, by Sec. 10, logtt — = x — v/, n (c) The logarithm of a power of a number equals the logarithm of the number multiplied by the exponent of the power. Thus, log 235 - 5 log 23. Proof. Let n be the number and p the exponent of the power, and let Then,...