SOLUTION: What are the steps to solving: 2^(x-1) = 16^(x+2) ?

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Question 414926: What are the steps to solving:
2^(x-1) = 16^(x+2) ?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

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