Latest self Aptitude Question SOLUTION: Without computing their actual values, which is greater, e^(pi) or (pi)^e?explain

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Without computing their actual values, which is greater, e^(pi) or (pi)^e?explain

jyotish r (11 years ago)

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jyotish r  (11 years ago)

hai friends, a good explanation is as follows:

Let pi = e^k for some k; k is a little bigger than 1

Therefore you are comparing

e^(e^k) and (e^k)^e
or...
e^(e^k) and e^(ke)


you know that e^0 > 0e, and that e^1 = 1e, and that e^2 > 2e, and could probably correctly intuit that e^k > ke whenever k != 1. Therefore you can correctly figure that e^pi > pi^e.

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Sneha paliwal  (11 years ago)

ans e^(pi) is greater than (pi)^e. because e is nearly equal to 2.718 and pi=3.14 .

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