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JEE Advanced Maths: Logarithms and Exponents (Algebra) questions with solutions

1 questions with worked solutions.

Questions

Q1. Find the value of log_(sqrt(5)+1) (6 + 2*sqrt(5)).

  1. 1
  2. 2
  3. 3
  4. 4

Answer: 2

(sqrt(5)+1)² = 5 + 2*sqrt(5) + 1 = 6 + 2*sqrt(5), so log_(sqrt(5)+1)(6+2*sqrt(5)) = log_(sqrt(5)+1)((sqrt(5)+1)²) = 2.

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