SOLUTION: (1/2)^1-x=16

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Question 925430: (1/2)^1-x=16
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29%5E%281-x%29=16....since %281%2F2%29%5E%281-x%29=2%5E%28x-1%29, we have

2%5E%28x-1%29=16
2%5E%28x-1%29=2%5E4...since base same, exponents must be same too
x-1=4
x=4%2B1
x=5