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Question

If (4)2x1(16)x1=384,then find the value of x.

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Solution

4(2x1)16(x1)=38442x416x16=3844(42x)16x16=38416x(41)16=38416x=384×163=27×3×243
24x=211
4x=11
x=114=2.75

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