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 2022-10-16 Answered
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?
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Answers (1)

pawia6g
Answered 2022-10-17 Author has 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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