Rewrite the logarithm as a ratio of common logarithms. Log_2.7 x A) $\frac { \log 2.7 } { \log x }$ B) $\frac { \log x } { \log 2.7 }$ C) $\log \frac { x } { 2.7 }$ D) $\log 2.7 x$ E)None of these

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Quizplus · Accepted Answer

The given expression can be rewritten using the change of base formula for logarithms, which is $\log_b a = \frac{\log_c a}{\log_c b}$. Applying this to the given logarithm, we get $\log_x 2.7 = \frac{\log 2.7}{\log x}$, which matches option B.

Rewrite the Logarithm as a Ratio of Common Logarithms log⁡2.7log⁡x\frac { \log 2.7 } { \log x }logxlog2.7​

Rewrite the Logarithm as a Ratio of Common Logarithms $\frac { \log 2.7 } { \log x }$