TAOCP: Induction and logarithms

Knuth suggests that it may be wise to skim through the mathematical sections from the beginning of the book when reading for the first time. I decided to read on and only start skimming when it becomes overly heavy. The sections about mathematical induction and logarithm were pretty basic stuff, not too hard to read, although many of the exercises were beyond my math scope.

In one exercise it was asked what is the value of log_pi (pi), that is, base pi logarithm of pi. We can immediately declare an answer following the definition of a logarithm, but because rational numbers act in an awkward manner as base, couldn't we just declare it undefined? The right answer given by Knuth is 1, of course.

Next time it is sums and products who will accompany me.