What is the value of the log base 27 of 9 ?

Rewrite both numbers as powers of 3: 27 = 3³ and 9 = 3². If x = log base 27 of 9, then (3³)ˣ = 3², so 3x = 2 and x = 2/3. The value is two thirds, choice A.

AI-written and checked against the verified answer.