1990 - 31 & 32

You'll need a good understanding of logarithms today ... and an ability to understand the weirdest function question I've ever seen.

Difficulty: Easy-Medium.

Difficulty: Medium-Hard.

Standard instructions for this series: No calculator allowed. Express answers in reduced form. Rationalize denominators. Radicals must be reduced. All numbers are base ten unless otherwise specified. Do not approximate radicals or π. Leave such answers as 1025π or √39, for example. Source: UVM Math Contest 2013

answer 31, answer 32, Published 5/21.