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Βιβλία Βιβλία 31 - 40 από 99 για The logarithm of any power of a number is equal to the logarithm of the number multiplied....
" The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. "
A Theoretical and Practical Arithmetic: In which the Principles of that ... - Σελίδα 233
των Bézout - 1825 - 236 σελίδες
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Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - 1863 - 320 σελίδες
...member by member, we have £=£!=«-* N ~ a" ~ Therefore, log (-^J = x — y = log M — log N. 11. The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take...

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1864 - 394 σελίδες
...equation by the second, member by member, we have Therefore, log TT = * ~~ y ~ log m — log ». 401 1 The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. For, let m = ax ; then, raising both members to...

A Treatise on Algebra

Elias Loomis - 1864 - 359 σελίδες
...logarithm ol Nm, since mx is the exponent of that power of the base which s equalt) Nm; hence PROPERTY III. The logarithm of any power of a number is equal to the toga rithm of that number multiplied by the exponent of the power. EXAMPLES. Ex. 1. Find the third...

Elements of Geometry and Trigonometry: With Practical Applications

1869 - 382 σελίδες
...member by member, we have Jf_£ --o.-». N -* o» Therefore, log I -^ I = x — y= log M — log N. 11. The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take...

A Treatise on Elementary Algebra

1869
...diminished by the logarithm of the divisor. Let m = a', and и = a?, Then - = a"i; n m log m - log n, 373. The logarithm of any power of a number is equal to the product of the logarithm of the number and the index denoting the power. Let m = a*. Then mr = a" =...

University Algebra: Embracing a Logical Development of the Science, with ...

1870
...denoted by p, we have, pi p CL "~ Yfa • Whence, by definition, px — Log m? . . . ( 7.) That is, tJie logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. If we extract any root of both members of ( 3 ),...

Elementary trigonometry

James Hamblin Smith - 1870 - 224 σελίδες
...1-7191323 their difference = -8508148 which is the logarithm of 7-092752, the quotient required. 146. The logarithm of any power of a number is equal to the product of the logarithm of the number and the index denoting the power. Let m = a'. Then m' = a";...

Elements of Geometry, Conic Sections, and Plane Trigonometry

Elias Loomis - 1871 - 58 σελίδες
...-0.4753 divided by -36.74. INVOLUTION BY LOGARITHMS. (14.) It is proved in Algebra, Art. 340, that the logarithm of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power. Hence, to involve a number by logarithms, we have the folk wing RULE. Multiply...

Elements of Surveying and Leveling; with Descriptions of the Instruments ...

Charles Davies - 1871 - 270 σελίδες
...power denoted by t, we have, l0* = m'; whence, by the definition, pt = log m, ....... (8.) That is, the logarithm of any power of a number, is equal to the logarithm of the number multiplied by the exponent of Ike power. 8. Extracting the root, indicated by r, of both...

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - 1872 - 455 σελίδες
...denoted by p, we have, = m r whence, by the definition, xp = log m r ..... (8.) That is, the loga/ithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. 8. Extracting the root, indicated by r, of both...




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