Rewrite the logarithm as a ratio of common logarithms. Log_1/7 x A) $\frac { \log x } { \log \frac { 1 } { 7 } }$ B) $\frac { \log \frac { 1 } { 7 } } { \log x }$ C) $\log \frac { x } { 7 }$ D) $\log 7 x$ E)None of these

Question

Quizplus · Accepted Answer

The change of base formula for logarithms states that $\log_b a = \frac{\log_c a}{\log_c b}$. Here, $b = \frac{1}{7}$ and $a = x$, so $\log_{1/7} x = \frac{\log x}{\log \frac{1}{7}}$.

Rewrite the Logarithm as a Ratio of Common Logarithms log⁡xlog⁡17\frac { \log x } { \log \frac { 1 } { 7 } }log71​logx​

Rewrite the Logarithm as a Ratio of Common Logarithms $\frac { \log x } { \log \frac { 1 } { 7 } }$