Option 3 : log_{3} (5)

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Reading Comprehension Vol 1

2347

12 Questions
36 Marks
20 Mins

**Calculation:**

9x^{2} = 6^{log6 (25)}

Taking log on both sides,

⇒ X^{2} log (9) = log_{6} (25) × log (6)

⇒ X^{2} log (9) = log (25) × log (6)/log (6)

⇒ X^{2} = log (25)/log (9)

⇒ X^{2 }= log_{9} 25

⇒ X = log_{3} (5)

**∴ X = log _{3 }5**

__Key Points__

if a^{2} = log_{16} (25)

⇒ a = log_{4} (5)

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