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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.7
log_{\frac12} x\ ge 16^x (IV Soros Olympiad 1997-98 R3 11.7)
log_{\frac12} x\ ge 16^x (IV Soros Olympiad 1997-98 R3 11.7)
Source:
June 2, 2024
algebra
inequalities
logarithms
Problem Statement
Solve the inequality
log
1
2
x
≥
1
6
x
\log_{\frac12} x\ge 16^x
lo
g
2
1
x
≥
1
6
x
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