Step 1: Represent 81 as a power of 3 It is known that:\[81 = 3^4\]Step 2: Apply the logarithmic identity Using the identity \( \log_b a^n = n \log_b a \), we have:\[\log_3 81 = \log_3 (3^4)\]Step 3: Apply the logarithmic rule Applying the rule \( \log_b (b^n) = n \), yields:\[\log_3 (3^4) = 4\]Answer: Consequently, \( \log_3 81 = 4 \). The correct option is (2).