Verify: Is a^(log n) = n^(log a)?

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SUMMARY

The equation a^(log n) = n^(log a) is verified as true under the condition that both a and n are positive real numbers. This relationship can be established by taking the logarithm of both sides, which confirms the equality. The discussion emphasizes the importance of ensuring that the values of a and n are appropriate for the logarithmic functions to be valid.

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bodensee9
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Hello:

I seem to recall a vague truth that a^(log n) = n ^ (log a)? Can someone verify?

Thanks.
 
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Yes, they are. Take the logarithm of both sides and see for yourself. Of course, this is all assuming that a and n take on appropriate values.
 

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