1. The problem statement, all variables and given/known data I decided to cram these two unrelated question into one post, because they are too small and I don't want to crowd the forum with my many little bitty questions. 1. log(base A) of B= 1/[log(base B) of A] because: if log(base B) of A=C, then B^C=A and so B=A^1/C Hence, log(base A) of B= 1/C= 1/[log(base B) of A] 2. plot the graph of: x^2+x+1: x<1, x=1 for [-3, 4] with intervals of 0.5 It's a part of a bigger graph. 2. Relevant equations 3. The attempt at a solution 1. I don't see how introducing C as equal to a different base and then carrying out a bunch of algebraic manipulations prove anything. Am I missing something here? Thank You. 2. x,y pairs (-3, 7), (-2, 3), (-1,1) I chose the whole numbers for x, because they are more convenient to me. If you look at this part of the graph in my book it goes through different points. Can, you please tell me where I went wrong? Thanks.