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Which of the following is true ? 

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NIELIT Scientific Assistant CS 5 Dec 2021 Official Paper
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  1. log17 275 = log19 375
  2. log17 275 > log19 375 
  3. log17 275 < log19 375
  4. None of these

Answer (Detailed Solution Below)

Option 1 : log17 275 = log19 375
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Detailed Solution

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Concept used:

To compare logs with different bases, convert using the change of base formula:

logab = log b / log a

Calculations:

log17275 = log(275) / log(17) ≈ 2.4393 / 1.2304 ≈ 1.983

log19375 = log(375) / log(19) ≈ 2.5740 / 1.2788 ≈ 2.013

Now compare:

log17275 ≈ 1.983 log19375 ≈ 2.013

⇒ log17275 < log19375 

∴ The correct answer is: log17275 < log19375

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Latest NIELIT Scientific Assistant Updates

Last updated on Jun 12, 2025

-> NIELIT Scientific Assistant city intimation slip 2025 has been released at the official website.

-> NIELIT Scientific Assistant exam 2025 is scheduled to be conducted on June 28. 

-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.

-> Online application form, last date has been extended up to from 17th April 2025.

->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.

 

-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

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