MCQ
Which is the correct order for a given number $\alpha $in increasing order
  • A
    ${\log _2}\alpha ,\,{\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _{10}}\alpha $
  • ${\log _{10}}\alpha ,\,{\log _3}\alpha ,{\log _e}\alpha ,{\log _2}\alpha $
  • C
    ${\log _{10}}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha ,\,{\log _3}\alpha $
  • D
    ${\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha ,\,{\log _{10}}\alpha $

Answer

Correct option: B.
${\log _{10}}\alpha ,\,{\log _3}\alpha ,{\log _e}\alpha ,{\log _2}\alpha $
b
(b) Since $10, 3, e, 2$ are in decreasing order.

Obviously, ${\log _{10}}\alpha ,\,{\log _3}\alpha ,\,{\log _e}\alpha ,\,{\log _2}\alpha $ are in increasing order.

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