Question 20
(USA 2) Determine all pairs $(a,b)$ of positive real numbers with $a\ne1$ such that
$$\log_a b\lt \log_{a+1}(b+1).$$
$$\log_a b\lt \log_{a+1}(b+1).$$
IMO 1984 - Shortlisted Problems Question 20
IMO Shortlist · IMO 1984 - Shortlisted Problems