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Irrationality Proof : Prove that log(8) / log(9) is irrational.

Prove that the following function is irrational
log(8) / log(9)

Solution Preview

First, we know that log(8)/log(9)=log (base 9) (8).
If log(8)/log(9) is a rational, then ...

Solution Summary

Irrationality is proven. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.