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SEAMO 2027 - Paper E - SET 09 - Self-study Question 9

SEAMO · SEAMO 2027 - Paper E - SET 09 - Self-study

Question 9

Given $$\log_2[\log_{1/2}(\log_2 x)]=\log_3[\log_{1/3}(\log_3 y)]=\log_5[\log_{1/5}(\log_5 z)]=0,$$ which statement is true?
  1. $z\lt x\lt y$
  2. $x\lt y\lt z$
  3. $y\lt z\lt x$
  4. $z\lt y\lt x$
  5. $x=y$