The solution set for `|1-x|^(log_(10)(x^(2)-5x+5))=1`, is ______.A. {0 – InterviewSolution

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1.	The solution set for `\|1-x\|^(log_(10)(x^(2)-5x+5))=1`, is ______.A. {0, 1, 4}B. {1, 4}C. {0, 4}D. {0, 2, 4}
Answer» Correct Answer - C (i) Use `a^(@) = 1` and `1^(m) = 1`. (ii) Consider RHS, i.e., 1 as `\|1 - x\|^(@)` and equate the exponents. (iii) convert the logarithm in the exponential form by using `log_(b) a = N implies a = b^(N)`. (iv) Solve the quadratic equations for x.

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