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SEAMO 2027 - Paper F - SET 06 - Self-study Question 13

SEAMO · SEAMO 2027 - Paper F - SET 06 - Self-study

Question 13

It is given that
$$(\log_2 3)^x-(\log_5 3)^x=(\log_2 3)^{-y}-(\log_5 3)^{-y}.$$
Which is the best conclusion?

Take x and y to be real. Follow the source cover instruction to choose the BEST answer: select the strongest conclusion, even if a weaker listed consequence is also true.
  1. $x-y\ge0$
  2. $x+y\ge0$
  3. $x-y\le0$
  4. $x+y\le0$
  5. $x+y=0$