Difference between revisions of "1986 INMO"
Ameya person (talk | contribs) (→Problem 1) |
Ameya person (talk | contribs) (→Problem 2) |
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This was the first INMO conducted, it was conducted by the Indian Institute of Science, Department of Applied Mathematics | This was the first INMO conducted, it was conducted by the Indian Institute of Science, Department of Applied Mathematics | ||
| − | ==Problem | + | ==Problem 2== |
| − | + | Solve: | |
| + | |||
| + | \begin{cases} | ||
| + | \log_{2} x + \log_{4} y + \log_{4} z = 2 \\[6pt] | ||
| + | \log_{3} y + \log_{9} z + \log_{9} x = 2 \\[6pt] | ||
| + | \log_{4} z + \log_{16} x + \log_{16} y = 2 | ||
| + | \end{cases} | ||
Revision as of 07:14, 2 October 2025
This was the first INMO conducted, it was conducted by the Indian Institute of Science, Department of Applied Mathematics
Problem 2
Solve:
\begin{cases} \log_{2} x + \log_{4} y + \log_{4} z = 2 \\[6pt] \log_{3} y + \log_{9} z + \log_{9} x = 2 \\[6pt] \log_{4} z + \log_{16} x + \log_{16} y = 2 \end{cases}
