IN the preface Prof. Peirce writes:—“Logarithms ought not to be comprised, as they often are, in the midst of a treatise on algebra. For, in the first place, they are not algebraic functions ...

W. Feller, The General Form of the So-Called Law of the Iterated Logarithm, Transactions of the American Mathematical Society, Vol. 54, No. 3 (Nov., 1943), pp. 373-402 ...