Rewrite the logarithm as a ratio of common logarithms.? $\log _ { x } \frac { 2 } { 11 }$ ?
A) $\frac { \log x } { \log \frac { 2 } { 11 } }$
B) $\frac { \log \frac { 2 } { 11 } } { \log x }$
C) $\log \frac { 2 } { 11 } x$
D) $\log \frac { 11 } { 2 x }$
E)None of these

Question

Quizplus · Accepted Answer

The correct answer is obtained by applying the change of base formula for logarithms, which states that $\log_b a = \frac{\log_c a}{\log_c b}$, where $c$ is the new base (commonly 10 for common logarithms). Therefore, $\log_x \frac{2}{11}$ can be rewritten as $\frac{\log \frac{2}{11}}{\log x}$.

Rewrite the Logarithm as a Ratio of Common Logarithms log⁡x211\log _ { x } \frac { 2 } { 11 }logx​112​

Rewrite the Logarithm as a Ratio of Common Logarithms $\log _ { x } \frac { 2 } { 11 }$