यदि xm yn = 2(x + y)m + n है, तो का मान ज्ञात कीजिए।

  1. x + y
  2. x - y

Answer (Detailed Solution Below)

Option 4 :
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NDA 01/2025: English Subject Test
30 Qs. 120 Marks 30 Mins

Detailed Solution

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संकल्पना:

log ( a + b ) = log a + log b

गणना:

 xm y = 2(x + y)m + n 

दोनों पक्षों पर लॉग लेने पर, हम प्राप्त करते हैं

⇒ log(xyn) = log[2(x + y)m + n]

⇒ m log x + n log y = log 2 + (m + n) log (x + y)

x के सापेक्ष दोनों पक्षों का अवकलन करने पर, हमें प्राप्त होता है

+ = [1 + ]

=

=

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