Solving an equation with absolute value and exponent

Published on November 12, 2024

The equation (x-1)^(|x|-4) = 1 has solutions x = -4, 0, 2, and 4.

Question

\( \begin{array}{c}(x-1)^{|x|-4}=1 \\ A=-4 \\ B=0 \\ C=2 \\ D=4 \\ E=\text { all }\end{array} \)