Indian Mathematical Olympiad 1986 - Problem 2
Source:
August 13, 2009
logarithmsalgebra proposedalgebra
Problem Statement
Solve
\left\{ \begin{array}{l}
\log_2 x\plus{}\log_4 y\plus{}\log_4 z\equal{}2 \\
\log_3 y\plus{}\log_9 z\plus{}\log_9 x\equal{}2 \\
\log_4 z\plus{}\log_{16} x\plus{}\log_{16} y\equal{}2 \\
\end{array} \right.