Step 1: Understand what log_a(bc) means. It is the logarithm of the product of b and c with base a.
Step 2: Recall the product rule of logarithms. This rule states that the logarithm of a product is equal to the sum of the logarithms of the individual factors.
Step 3: Apply the product rule to log_a(bc). According to the rule, log_a(bc) can be rewritten as log_a(b) + log_a(c).
Step 4: Conclude that log_a(bc) = log_a(b) + log_a(c) is true.
