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Question

If 9x*32*[-x/32]-2​​​​​​=1/27, find x

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Solution

9^x*3^2*(3^(-x/2))^-2=1/27
3^2x*3^2*(3^x)=1/27
3^(2x+2+x)=1/3^3
3^(3x+2)=3^-3
3x+2=-3
3x=-5
x=-5/3

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