Rewrite the logarithm as a ratio of common logarithms. Log₅ 16 A) $\frac { \log 16 } { \log 5 }$ B) $\log \frac { 16 } { 5 }$ C) $\frac { \log 5 } { \log 16 }$ D) $\log \frac { 5 } { 16 }$ E)None of these

Question

Quizplus · Accepted Answer

The correct answer is $\frac { \log 16 } { \log 5 }$ because the logarithm $\log_{5} 16$ can be rewritten using the change of base formula as $\frac { \log 16 } { \log 5 }$, where the base of the logarithm is not specified and thus assumed to be 10 (common logarithm).

Rewrite the Logarithm as a Ratio of Common Logarithms log⁡16log⁡5\frac { \log 16 } { \log 5 }log5log16​

Rewrite the Logarithm as a Ratio of Common Logarithms $\frac { \log 16 } { \log 5 }$