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how to solve (1/2) to the 4th power = 2 to the x power

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Luanaid
[tex]\frac{1}{2}^4=2^x\ \ \ \ |Write\ 2\ as\ \frac{1}{2}^{-1}\\\\ \frac{1}{2}^4=\frac{1}{2}^{-1*x}\\\\\frac{1}{2}^4=\frac{1}{2}^{-x}\\\\ 4=-x\ \ \ |Multiply\ by\ -1\\\\ x=-4\\\\Solution\ is\ x=-4.[/tex]