Rewrite the logarithm as a ratio of natural logarithms. ? Log_3.1 x ? A) $\ln \frac { x } { 3.1 }$ B) $\ln 3.1 x$ C) $\frac { \ln 3.1 } { \ln x }$ D) $\frac { \ln x } { \ln 3.1 }$ E)None of these

Question

Quizplus · Accepted Answer

The logarithm $\log_{3.1} x$ can be rewritten as a ratio of natural logarithms using the change of base formula: $\log_b a = \frac{\ln a}{\ln b}$. Therefore, $\log_{3.1} x = \frac{\ln x}{\ln 3.1}$.

Rewrite the Logarithm as a Ratio of Natural Logarithms ln⁡x3.1\ln \frac { x } { 3.1 }ln3.1x​

Rewrite the Logarithm as a Ratio of Natural Logarithms $\ln \frac { x } { 3.1 }$