Question

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 1

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.