Is it correct? n^(log x)=x^(log n) Can you proof and describe that, for any base? Please explain completely. Thank you.

shadyufog0 2022-09-29 Answered
Is it correct? n ( log x ) = x ( log n ) ?
Can you proof and describe that, for any base? Please explain completely. Thank you.
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Answers (2)

Danielle Gilbert
Answered 2022-09-30 Author has 5 answers
n ( log x ) = ( e log n ) ( log x ) = e ( log n ) ( log x ) = e ( log x ) ( log n ) = ( e log x ) ( log n ) = x ( log n )
If you use log to a different base b, then use b instead of e
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rialsv
Answered 2022-10-01 Author has 3 answers
Hint: compute the logarithm of both sides. Since the logarithm function is one-to-one this will tell you if they are equal.
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