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math equations

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Solve x = log3 15

  • math equations -

    huh? there's nothing to solve. Just evaluate log3 15.

    Now, you probably don't have a log-base-3 key on your calculator, so you have to use what you do have: ln

    x = ln15/ln3

    How does that work? By definition,

    3^log3 15 = 15
    ln(3^log3 15) = ln15
    now, ln(3^p) = p*ln3, so we have
    log3 15 * ln3 = ln15
    log3 15 = ln15/ln3

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