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

User Torleif
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(1)/(2)^4=2^x\ \ \ \ |Write\ 2\ as\ (1)/(2)^(-1)\\\\ (1)/(2)^4=(1)/(2)^(-1*x)\\\\(1)/(2)^4=(1)/(2)^(-x)\\\\ 4=-x\ \ \ |Multiply\ by\ -1\\\\ x=-4\\\\Solution\ is\ x=-4.
User Emomaliev
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