Diophantine approximations of log 2 and other logarithms

Abstract

We describe a new approach to estimating μ(log 2), without improving Rukhadze’s result (1987). We find estimates for approximations to the number log 2 by numbers from the field ℚ(√2), to the number log((√5−1)/2) by numbers from the field ℚ(√5), and to some other numbers.