Question

Which expression gives the product rule for logarithms?

Options

• \[\log_b(pq)=\log_b p+\log_b q\]

• \[\log_b(p+q)=\log_b p+\log_b q\]

• \[\log_b(pq)=\log_b p-\log_b q\]

• \[\log_b(pq)=\log_b p\cdot\log_b q\]

Answer 1

The product rule changes multiplication inside a logarithm into addition. Therefore, \[\log_b(pq)=\log_b p+\log_b q\].