Question 414926

2^(x-1) = 16^(x+2)

=> 2^(x-1) = (2^4)^(x+2)

=> 2^(x-1) = 2^(4x+8)

here base are same so, compare exponent

x -1 = 4x+8 

=> -3x = 9

=> x = -3