Question

Which expression gives the change of base rule?

Options

• \[\log_b(pq)=\log_b p+\log_b q\]

• \[\log_b(p^n)=n\log_b p\]

• \[\log_b\left(\frac{x}{y}\right)=\log_b x-\log_b y\]

• \[\log_a p=\frac{\log_b p}{\log_b a}\]

Answer 1

The change of base rule rewrites \[\log_a p\] using base \[b\]. It is \[\log_a p=\frac{\log_b p}{\log_b a}\].