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anonymous

  • one year ago

Hi everyone : hope ur well so I have this log plus absolute question so. For ln (x-2) = ln (2-x) I know there is no solution however for ln |x-2| = ln |2-x| There is , someone can kindly how is that possible and also help me solve this thank u

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  1. perl
    • one year ago
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    I don't think there is a solution in either case.

  2. anonymous
    • one year ago
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    \[\ln|x-2|=\ln\left(|-1||2-x|\right)=\ln|2-x|\]

  3. anonymous
    • one year ago
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    You can think of the absolute value terms \(|2-x|\) and \(|x-2|\) in terms of distance. The distance between \(x\) and \(2\) is always the same. \(|a-b|\) can be read as "the distance from \(a\) to \(b\)", and \(|b-a|\) as "the distance from \(b\) to \(a\)". You can expect the distance to be the same regardless of the starting point.

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