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

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

    © BrainMass Inc. brainmass.com March 4, 2021, 7:09 pm ad1c9bdddf
    https://brainmass.com/math/basic-algebra/irrationality-proof-prove-log-log-irrational-84749

    Solution Preview

    Proof:
    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 with the given function. The solution is detailed and well presented.

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