Compute (log_5 3) × (log_3 625).

Introduction / Context:The product log_a b · log_b c equals log_a c by cancellation of the intermediate base. Apply that here with a = 5, b = 3, c = 625.

Given Data / Assumptions:625 = 5^4.

Concept / Approach:(log_5 3)(log_3 625) = log_5 625 = 4.

Step-by-Step Solution:

Final Answer:4