Rewrite the logarithm as a ratio of natural logarithms. Log₅ 19 A) $\ln \frac { 5 } { 19 }$ B) $\ln \frac { 19 } { 5 }$ C) $\frac { \ln 5 } { \ln 19 }$ D) $\frac { \ln 19 } { \ln 5 }$ E)None of these

Question

Quizplus · Accepted Answer

The change of base formula for logarithms states that $\log_b a = \frac{\ln a}{\ln b}$. Applying this to $\log_{5} 19$, we get $\frac{\ln 19}{\ln 5}$.

Rewrite the Logarithm as a Ratio of Natural Logarithms ln⁡519\ln \frac { 5 } { 19 }ln195​

Rewrite the Logarithm as a Ratio of Natural Logarithms $\ln \frac { 5 } { 19 }$