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Solve |x-3|^(3x^(2)-10x+3)= 1....

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

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To solve the equation \( |x-3|^{(3x^2 - 10x + 3)} = 1 \), we can analyze the equation by considering the properties of absolute values and exponents. ### Step 1: Identify the cases The equation \( a^b = 1 \) can be satisfied in two scenarios: 1. \( a = 1 \) 2. \( a = -1 \) and \( b \) is an even integer 3. \( b = 0 \) (provided \( a \neq 0 \)) ...
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CENGAGE ENGLISH-LOGARITHM AND ITS PROPERTIES-ILLUSTRATION 1.3
  1. Solve |x-3|^(3x^(2)-10x+3)= 1.

    Text Solution

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