Logarithms

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Charles W. Sever, 1882 - 43 sider
 

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Side 4 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Side 4 - ... the logarithm of a fraction is equal to the logarithm of the numerator minus the logarithm of the denominator.
Side 7 - The integral part of a logarithm is called its characteristic, and the decimal part is called the mantissa.
Side 3 - The logarithm of the product of two or more numbers is equal to the sum of the logarithms of the numbers. For, let m and n be two numbers, and x and y their logarithms. Then, by the definition of a logarithm, m — ax, and n = a».
Side 1 - The exponent of the power to which a fixed number called the Base must be raised in order to produce a given number is called the Logarithm of the given number.
Side 2 - IV. The logarithm of a root of a number is found by dividing the logarithm of the number by the index of the root : log v/a = (log a)/b. This follows from the fact that if 10
Side 6 - Art. 66 we see that the logarithm of a number which is not an integral power of 10 is an integer plus a decimal.
Side 27 - ... cosines, &c., themselves. When logarithms were invented they were called artificial numbers, and the originals for which logarithms were computed, were accordingly called natural numbers. Thus, in speaking of a table of sines, to express that it is not the logarithms of the sines which are given, but...
Side 15 - For example, to obtain 1000, three tens must be multiplied together so that the logarithm of 1000 is 3. The logarithm of the reciprocal of a number is equal to the negative of the logarithm of the number.

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