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The value of \((\log_{3} 30)^{-1} + (\log_{4} 900)^{-1} + (\log_{5} 30)^{-1}\) is

Question and options

The value of (log⁡330)−1+(log⁡4900)−1+(log⁡530)−1(\log_{3} 30)^{-1} + (\log_{4} 900)^{-1} + (\log_{5} 30)^{-1} is
  1. 0.5
  2. 30
  3. 2
  4. 1

Answer and explanation

Correct answer: D - 1
Terms equal log_30 3 + log_900 4 + log_30 5 = log_30 3 + log_30 2 + log_30 5 = log_30 30 = 1.

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