# Is it a paradox or I am an idiot.

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

1. ### zero7860

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zero7860, Oct 21, 2022

2. ### 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

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thank you
but what if 0<x<1 then it would be positive

zero7860, Oct 26, 2022
4. ### zero7860

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sorry now I know, in step 8 I have to switch the sign
thank you

zero7860, Oct 26, 2022
5. ### 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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