The Minimum Possible Base For Two Logs
Algebra
Level
4
\[\log_{5n} 30\sqrt{5} \ge \log_{4n} 48\]
Over the domain \( n > 1 \), let \(M\) be the smallest value of \(n\) that satisfies the above inequality.
What is \( M^3 \)?
by
Chan Lye Lee