Log x√3 = \(\frac{1}{4}\) में x का मान ज्ञात कीजिये। 

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Territorial Army Official Paper I (Conducted on 26 Sep 2021)
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  1. 9
  2. 3
  3. 4
  4. 1

Answer (Detailed Solution Below)

Option 1 : 9
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दिया गया है:

Log x√3 = \(\frac{1}{4}\)

प्रयुक्त अवधारणा:

y = logb x 

⇒ by = x

गणना:

Log x√3 = \(\frac{1}{4}\)

⇒ x1/4 = √3   [उपरोक्त अवधारणा के द्वारा]

⇒ ( x1/4)4 = (31/2)4

⇒ x4/4 = 34/2

⇒ x1 = 32

⇒ x = 9

x का अभीष्ट मान 9 है।

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