SOLUTION TO PROBLEM R-8




Using the change of basis formula one has that

\begin{displaymath}\log _{a_1}a_2 \cdot \log _{a_2}a_3 \cdot \log _{a_3}a_4 \dots
\log _{a_{N-1}}a_N \log _{a_N}a_1 =
\end{displaymath}


\begin{displaymath}= \frac{\ln a_2}{\ln a_1} \cdot \frac{\ln a_3}{\ln a_2} \cdot...
...s \frac{\ln a_N}{\ln a_{N-1}}\cdot
\frac{\ln a_1}{\ln a_N} = 1
\end{displaymath}



Questions and/or comments should be directed to Judy Downey or Griff Elder


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Last modified:   Sat Mar 9 16:31:22 CST 2002