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Question

If 8^x=4/2^x, then x=?

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Solution

8^x = 4/2^x (8^x) * (2^x )= 4 ([2^3]^x )*( 2^x) =4 8= 2^3 (2^3x )*( 2^x )= 4 a^m^n =a^mn (2^[3x+x)])= 2^2 a^m * a ^n =a^(m+n) 4x=2 x=1/2

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