Suggestion

Which is the largest of the following four numbers?

  1. \(\log_2 3\),

  2. \(\log_4 8\),

  3. \(\log_3 2\),

  4. \(\log_5 10\).

Can we evaluate any of the logarithms exactly?

What do we know about \(\log_a b\) when \(0 < b < a\)?