# Elementary Algebra

The University Press, 1890 - Algebra - 486 pages
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### Popular passages

Page 275 - Suppose a* =n, then x is called the logarithm of n to the böge a ; thus the logarithm of a number to a given base is the index of the power to which the base must be raised to be equal to the number. The- logarithm of n to the base a is written Iog0 n ; thus log„ii = a; expresses the same relation, as a* = n.
Page 155 - A horse and a donkey, laden with corn, were walking together. The horse said to the donkey: "If you gave me one measure of corn, I should carry twice as much as you, but if I gave you one, we should carry equal burdens.
Page 158 - If a number of two figures be divided by the sum of its digits, the quotient is 7 ; and if the digits be inverted, the quotient of the resulting number, increased by 6, divided by the sum of the digits, is 5.
Page 333 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Page 277 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Page 387 - To find the number of permutations of n different things taken r at a time.
Page 392 - Recall the general formula for the number of combinations of n different things taken r at a time, C(n,r) n\ r!(nr)!
Page 277 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Page 277 - The logarithm of a power of a number is equal to the logarithm of the number multiplied by the exponent of the power. log» Np = p log