Question 958316
take the log of each side
log(5^|x|-1) = log(125)
(|x-1|)*log(5) = log(5^3)
(|x-1|)*log(5) = 3*log(5)
divide each side by log(5)
(|x-1|) = 3
x-1 = 3 or x-1 = -3
x-1 = 3
add 1 to each side
 x = 4
x-1 = -3
add 1 to each side
 x = -2