Answer (Detailed Solution Below)

Option 3 : 2
Free
NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

  • आधार परिवर्तन प्रमेय से हम जानते हैं कि .
  • log x (x) = 1

गणना:

दिया गया है कि 

आधार परिवर्तन से हम इसे निम्न रूप में लिखा सकते हैं -

⇒ log609 + log6016 +log6025

लघुगुणक के गुणनफल नियम से हम इसे निम्न रूप में फिर से लिख सकते हैं -

⇒ log60(9 x 16 x 25) = log60(3600)

⇒ log60 (60)2 = 2 log60(60) = 2

अतः विकल्प (3) सही उत्तर है। 

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