Q. Which of the following is the smallest?

  • (A) 2^30
  • (B) 3^18
  • (C) 4^15
  • (D) 5^12
βœ… Correct Answer: (D) 5^12
Explanation: Convert 4^15 = 2^30. Compare logarithms: 30log2 ≈ 9.03, 18log3 ≈ 8.59, 12log5 ≈ 8.39. Therefore 5^12 is the smallest.
Explanation by: Mr. Dubey
Convert 4^15 = 2^30. Compare logarithms: 30log2 ≈ 9.03, 18log3 ≈ 8.59, 12log5 ≈ 8.39. Therefore 5^12 is the smallest.

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