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" 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 the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a""... "
Elements of Plane and Spherical Trigonometry: With Practical Applications - Page 4
by Benjamin Greenleaf - 1862 - 490 pages
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A Higher Algebra

George Albert Wentworth - Algebra - 1891 - 544 pages
...Therefore, log — = a — b = log A — log B. В 349. The logarithm of a power is found by multiplying the logarithm of the number by the exponent of the power. For A" = (10")" = 10"". 350. The logarithm of the root of a number is found by dividing the logarithm of...
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A School Algebra

George Albert Wentworth - Algebra - 1891 - 380 pages
...that of the dividend. Therefore, 384. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For A" = (10°)" = 10"". Therefore, log A" = an = n \ogA. 385. The logarithm of the root of a number is...
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A Drill-book in Algebra

George William Jones - Algebra - 1892 - 300 pages
...logA о - log, D. LOGARITHMS OF POWERS AND ROOTS. THEOR. 13. The logarithm of a power of a number is the product of the logarithm of the number by the exponent of the power sought; that of a root is the quotient of the logarithm by the root-index. [th. 7. Eg-, log* (в* -...
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A Treatise on Plane and Spherical Trigonometry: And Its Applications to ...

Edward Albert Bowser - Trigonometry - 1892 - 392 pages
...and y = \ogan. .: m = a*, and n = a*. — = x — y = logam — log,и. Thus, log = logl7-log5. (6) 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 a; = log„m. .-. m = az....
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Trigonometry, Surveying and Navigation

George Albert Wentworth - Navigation - 1895 - 436 pages
...the dividend. M tim ~ — 6. The logarithm of a power of a positive number is found by multiplying the logarithm of the number by the exponent of the power. For, Np = (an)p = a*P. . • . loga (Np) = np=plogaN. 7. The logarithm of the real positive value of a root...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - Logarithms - 1895 - 124 pages
...logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. The logarithm of any root of a number-...
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Plane and Spherical Trigonometry, Surveying and Tables

George Albert Wentworth - Surveying - 1895 - 422 pages
...m — n = \og2M— }og2N. (j. The logarithm of a power of a positive number is found by multiplylng the logarithm of the number by the exponent of the power. For, Np = (a") * = a"Л . • . log. (Nf) = np=p log2 N. 7. The logarithm of the real positive value of...
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Five-place Logarithmic and Trigonometric Tables

George Albert Wentworth, George Anthony Hill - Logarithms - 1895 - 104 pages
...log -=- = a — 6 = log A — log B. 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, A„ = (10a)» = 10a". Therefore, log A„ = an = n log A . 5. The logarithm of the root of a number...
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Logarithmic and Trigonometric Tables

Edward Albert Bowser - Logarithms - 1908 - 128 pages
...logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power. The logarithm of any root of a number...
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Plane Trigonometry, Surveying and Tables

George Albert Wentworth - Trigonometry - 1896 - 344 pages
...— = a — b = log A — log B. Jo 4. The logarithm of a power of a number is found by multiplying the logarithm of the number by the exponent of the power. For, A» - (10°)s = 10". Therefore, log A» =• an = n log A . 5. The logarithm of the root of a number...
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