Question:medium

Which is the correct order for a given number \(\alpha\) in increasing order?

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For \(\alpha>1\), larger base → smaller logarithm. Bases: \(2<e<3<10\) \(\rightarrow\) logs: \(\log_{10}<\log_3<\log_e<\log_2\).
Updated On: Apr 7, 2026
  • \(\log_2 \alpha, \log_3 \alpha, \log_e \alpha, \log_{10} \alpha\)
  • \(\log_{10} \alpha, \log_3 \alpha, \log_e \alpha, \log_2 \alpha\)
  • \(\log_{10} \alpha, \log_e \alpha, \log_2 \alpha, \log_3 \alpha\)
  • None of the above
Show Solution

The Correct Option is B

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