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Solve |x-1|^((log(10) x)^2-log(10) x^2=|...

Solve `|x-1|^((log_(10) x)^2-log_(10) x^2=|x-1|^3`

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To solve the equation \( |x-1|^{(\log_{10} x)^2 - \log_{10} x^2} = |x-1|^3 \), we can follow these steps: ### Step 1: Simplify the Exponent The exponent on the left side can be simplified using the properties of logarithms: \[ (\log_{10} x)^2 - \log_{10} x^2 = (\log_{10} x)^2 - 2 \log_{10} x \] This can be factored as: ...
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CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.53
  1. Solve |x-1|^((log(10) x)^2-log(10) x^2=|x-1|^3

    Text Solution

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