Q. Which of the following is the greatest?
✅ Correct Answer: (D)
5^20
Explanation: Compare using logarithms. 48log2 ≈ 14.45, 32log3 ≈ 15.27, 24log4 = 48log2 ≈ 14.45, 20log5 ≈ 13.98. Therefore, 3^32 is greater than 2^48 and 4^24, but comparing carefully: 32log3 = 15.27 and 20log5 = 13.98. Hence 3^32 is the largest.
Explanation by: Mr. Dubey
Compare using logarithms. 48log2 ≈ 14.45, 32log3 ≈ 15.27, 24log4 = 48log2 ≈ 14.45, 20log5 ≈ 13.98. Therefore, 3^32 is greater than 2^48 and 4^24, but comparing carefully: 32log3 = 15.27 and 20log5 = 13.98. Hence 3^32 is the largest.