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Βιβλία Βιβλία 81 - 90 από 96 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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Plane Trigonometry

Levi Leonard Conant - 1909 - 183 σελίδες
...of the dividend minus the logarithm of the divisor. .'. log ~ — x — y — log m — log n. n 4. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. PROOF. mv = (10*)" = 10*y. .'. log mv = xy = y log...

Plane and Spherical Trigonometry

Levi Leonard Conant - 1909 - 222 σελίδες
...logarithm of the dividend minus the logarithm of the divisor. PROOF. n .-.tog 2n = log m — log n. 4. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. PROOF. m? = (10*)" = 10*». .'. log m v = xy = y log...

Practical Algebra (revised) Prepared for the Use of the Midshipmen at the ...

Stimson Joseph Brown, Paul Capron - 1910 - 191 σελίδες
...Using the same quantities as in III, we have 2L = b * = b xv nb* or logs f-^-j = logs m - logs n. V. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the index of the power. Let m = b x , or logs m =• x; then m »= (6•)»...

New High School Algebra

Webster Wells, Walter Wilson Hart - 1912 - 424 σελίδες
...(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 the logarithm of the number multiplied by the exponent indicating the power. ' EXAMPLE 1. Given log 7 = .8451, find...

Plane and Sperical Trigonometry, with Five-place Tables: A Text-book for ...

Robert Edouard Moritz - 1913 - 453 σελίδες
...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 =...

Second Course in Algebra

Webster Wells, Walter Wilson Hart - 1913 - 285 σελίδες
...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 the logarithm of the number multiplied by the exponent indicating the power. EXAMPLE 1. Given log 7 = .8451, find log...

Industrial Engineering: A Handbook of Useful Information for ..., Τόμος 1

William Miller Barr - 1918
...difference will be the logarithm of the fraction. Involution by Logarithm. — On the principle that the logarithm of any power of a number is equal to the logarithm of that number multiplied by the exponent of the power, we have the following rule. Multiply the logarithm of the number by the exponent...

Second Course in Algebra, Βιβλίο 2

Walter Burton Ford, Charles Ammerman - 1920 - 299 σελίδες
...the fourth. We then have 254, which means 25X25X25X25. This illustrates the following rule. RULE IX. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent indicating the power. Thus log 3.17" = 10 log 3.17; similarly,...

A Brief Course in College Algebra

Walter Burton Ford - 1922 - 264 σελίδες
...= log 25+log 25+log 25+log 25, or log 254 = 4 log 25. This illustrates the following rule. RULE IX. The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent indicating the power. Thus log 3.17i0 = 101og 3.17; similarly,...

The Open Court, Τόμος 28

Paul Carus - 1914
...to the logarithm of the numerator diminished by the logarithm of the denominator, the logarithm of a power of a number is equal to the logarithm of that number multiplied by the index, and the logarithm of the nth root of a number is equal to the logarithm of that number divided by n....




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