When is (log(a))/(log(b)) I've encountered this quite a bit. If I have (log(a))/(log(b))=c where b is a known positive integer, what can be said about a if c needs to be an integer?

beefypy

beefypy

Answered question

2022-10-16

When is log ( a ) log ( b ) an integer?
I've encountered this quite a bit.
If I have log ( a ) log ( b ) = c where b is a known positive integer, what can be said about a if c needs to be an integer?

Answer & Explanation

pawia6g

pawia6g

Beginner2022-10-17Added 14 answers

Then ln a = c ln b, and taking the exponential on both side you get that a = b c . That is, a is a power of b

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