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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## 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

Benjamin Greenleaf - 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

James Hamblin Smith - 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 ...

Charles Davies - 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...