Is it a paradox or I am an idiot.

Discussion in 'Algebra' started by zero7860, Oct 21, 2022.

  1. zero7860

    zero7860

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    please help.
     

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    zero7860, Oct 21, 2022
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  2. zero7860

    Phrzby Phil

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    I worked this for x and y each = 10, in particular, integers.

    In step 5, where you divide each side of the inequality by log(1/x), the division was by a negative number [log(1/10) = -1].

    So in step 5 you must also reverse the inequality sign.

    Cool example.
     
    Phrzby Phil, Oct 25, 2022
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  3. zero7860

    zero7860

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    thank you
    but what if 0<x<1 then it would be positive
     
    zero7860, Oct 26, 2022
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  4. zero7860

    zero7860

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    sorry now I know, in step 8 I have to switch the sign
    thank you
     
    zero7860, Oct 26, 2022
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  5. zero7860

    Phrzby Phil

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    As you see, I just tested with integers. I quietly left it to you for (proper) fractions - which you did. Always good to test general statements with different actual numbers to get a feel for what is really happening.
     
    Phrzby Phil, Oct 26, 2022
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  6. zero7860

    zero7860

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    guess I'll try. thanks btw
     
    zero7860, Oct 29, 2022
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