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NDA 2011
Exam
NDA
Year
2011
Subject
Mathematics
Chapter
Sequences and Series

NDA 2011 · Mathematics · Sequences and Series

If _ 10 2, _ 10 (2^x-1), _ 10 (2^x+3) are three consecutive terms...

If log⁡102,log⁡10(2x−1),log⁡10(2x+3)arethreeconsecutivetermsofanAP,thenwhichoneofthefollowingiscorrect?\log _{10} 2, \log _{10} \left(2^x-1\right), \log _{10} \left(2^x+3\right) are three consecutive terms of an AP, then which one of the following is correct?

Options

  1. Ax=0x=0
  2. Bx=1x=1
  3. Cx=log⁡25x=\log _2 5
  4. Dx=log⁡52x=\log _5 2

Correct answer

C. x=log⁡25x=\log _2 5

Step-by-step solution

The correct answer is option C
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