3 log 9 4

Interpret as 3 · log base 9 of 4.

• log_9 4 = log_3 4 / log_3 9 = (log_3 4) / 2
• So 3 · log_9 4 = 3/2 · log_3 4
• And log_3 4 = 2 log_3 2, so = 3 log_3 2
• = log_3 (2^3) = log_3 8

Final answer: log base 3 of 8, which is approximately 1.8928.