mathematics

given that log(6)/log(a) = p and log(108)/log(a) = q , express log(3)/log(a) in terms of p and q

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asked by Kaelyn
  1. log6=log2+log3
    log108=log2+log27+log2
    = 2log2 + 3log3

    ploga=log2+log3
    q loga=2log2+3log3
    double the firstequation, then subtract.

    (q-2p)loga=log3
    log3/loga=q-2p

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