Question

Which is the smallest of the following numbers?

  1. \(\left(\sqrt{3}\right)^3\),

  2. \(\log_3 \left(9^2\right)\),

  3. \(\left( 3\sin{\dfrac{\pi}{3}}\right) ^2\),

  4. \(\log_2 \left(\log_2 \left(8^5\right)\right)\).