Write Expression in terms of t and u

Discussion in 'Other Pre-University Math' started by nycmathguy, Nov 6, 2021.

  1. nycmathguy

    nycmathguy

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    20211105_164358.jpg
     
    nycmathguy, Nov 6, 2021
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  2. nycmathguy

    MathLover1

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    are you sure that this expression is correct?
    (ln(x))^3-ln(x^4))/(ln(x/e^2)*ln(x*e^2))...........I do not see ln(y)
     
    MathLover1, Nov 6, 2021
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  3. nycmathguy

    nycmathguy

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    Here it is. Look at 40(d).

    20211107_001520.jpg
     
    nycmathguy, Nov 7, 2021
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  4. nycmathguy

    MathLover1

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    [​IMG]

    given: ln(x)=t -> x=e^t

    substitute (ln(x))^3=t^3

    =[​IMG]

    =[​IMG].................ln(e)=1

    =[​IMG]

    =[​IMG]


    =[​IMG]

    =t
     
    MathLover1, Nov 7, 2021
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  5. nycmathguy

    nycmathguy

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    Amazing. This is a Cohen question. I'm impressed.
     
    nycmathguy, Nov 7, 2021
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