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Tombrokaw

  • 3 years ago

I need help on this problem. How do I solve ln x + ln6x = 8 ? without a calculator ?

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  1. Directrix
    • 3 years ago
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    ln x + ln6x = 8 ln(x*(6x)) = 8 --> Sum of logs is log of product ln(6x^2) = 8 e^8 = 6 x^2 --> Definition of log e^8/6 = x^2 x^2 = (e^8)/6 x = (e^4) / Sqrt (6) --> Square root of both sides

  2. Tombrokaw
    • 3 years ago
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    hmmm and that would be the final answer ?

  3. Directrix
    • 3 years ago
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    x = (e^4) / Sqrt (6) is the exact answer. You can approximate for e and Sqrt(6) if that is what you mean.

  4. Tombrokaw
    • 3 years ago
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    Alright thank you

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