Date: Fri, 28 Jul 2000 14:15:30 EDT
Subject: ALGEBRA PROBLEM

LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1
SHOW COMPOSITION AND USE DEFINITION OF LOGS.

I am reading * as composition.

Since F*G(x) = 1, LOG(G(x)) = 1. But the base of the common logarithm, LOG, is 10 and thus G(x) = 10.

Now use the fact that G(x) = LN(x) and that the base of the natural logarithm, LN. is e to find x.