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7. [0/1 Points]DETAILSPREVIOUS ANSWERSOSCOLALG1 6.5.273.Rewrite the expression as an equivalent ratio of logs using the indicated base.log5(16) to base exRefer to the change-of-base formula to rewrite the expression as a ratio of logarithms with base e. What is anothwith base e?Additional MaterialseBookSubmit Answer

7. [0/1 Points]DETAILSPREVIOUS ANSWERSOSCOLALG1 6.5.273.Rewrite the expression as-example-1
User Satyawan Hajare
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16 votes

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Step-by-step explanation:


\begin{gathered} \text{Given: log}_5(16)\text{ } \\ To\text{ convert to base e} \end{gathered}

Applying change of base formula:


\begin{gathered} \log _ba\text{ = }(\log_da)/(\log_db)\text{ (For converting to base d)} \\ \\ \text{Applying same principle above to the log given:} \\ \log _516\text{ to base e:} \\ \log _516\text{ = }(\log_e16)/(\log_e5) \end{gathered}
\begin{gathered} \text{The ratio of logarithm with base e:} \\ \text{ }(\log_e16)/(\log_e5) \end{gathered}

User Dominik Dosoudil
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