Question

Which expression gives the power rule for logarithms?

Options

• \[\log_b(p^n)=(\log_b p)^n\]

• \[\log_b(p^n)=\log_b p+n\]

• \[\log_b(p^n)=n\log_b p\]

• \[\log_b(p^n)=\frac{\log_b p}{n}\]

Answer 1

The power rule moves the exponent \[n\] outside the logarithm. Thus, \[\log_b(p^n)=n\log_b p\].