Analytic geometry and principles of algebra (1913)
Ziwet, Alexander, 1853-1928, Hopkins, Louis Allen, joint author, Hedrick, E. R. (Earle Raymond), 1876-1943 · New York, The Macmillan Company · leaf 276
c, to thebase a (jiitive and ^ 1), is defined as the exponent b to whichthe gi\^p base a must be raised to produce the number c(§ 10o|pthus the two equations a^ = c and b = log„ c express exactly the same relation between b and c. It followsthat a^^a = c, whatever c. If in the first law of… … (2) log.-=log„P-!og, Q. 264 PLANE ANALYTIC GEOMETRY [XII, § 279 If in the third law of exponents (§ 104), (apy = aP, we putqp = P, rtP = 3/, so that P = M, we find since 2^ = ^ogc ^)2m = log„ M: (3) ■ log,(P^) = nlog^P. These laws (1), (2), (3) of logarithms are merely the trans-lation into the…
Geometry, Analytic
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