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2x=4^{-4}
Subtract 6 from 2 to get -4.
2x=\frac{1}{256}
Calculate 4 to the power of -4 and get \frac{1}{256}.
x=\frac{\frac{1}{256}}{2}
Divide both sides by 2.
x=\frac{1}{256\times 2}
Express \frac{\frac{1}{256}}{2} as a single fraction.
x=\frac{1}{512}
Multiply 256 and 2 to get 512.