Rewrite the logarithm as a ratio of natural logarithms.? $\log _ { x } \frac { 5 } { 11 }$ ?
A) $\frac { \ln \frac { 5 } { 11 } } { \ln x }$
B) $\ln \frac { 11 } { 5 x }$
C) $\ln \frac { 5 } { 11 } x$
D) $\frac { \ln x } { \ln \frac { 5 } { 11 } }$
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 formula to $\log_x \frac{5}{11}$ gives $\frac{\ln \frac{5}{11}}{\ln x}$.

Rewrite the Logarithm as a Ratio of Natural Logarithms log⁡x511\log _ { x } \frac { 5 } { 11 }logx​115​

Rewrite the Logarithm as a Ratio of Natural Logarithms $\log _ { x } \frac { 5 } { 11 }$