Question

0,5^-2x-1*4^3x+1=8^x-1

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Answer 1

$(0,5)^{-2x-1}*4^{3x+1}=8^{x-1}\\ \\ (2^{-1})^{-2x-1)}*(2^2)^{3x+1}=(2^3)^{x-1}\\ \\ 2^{2x+1}*2^{6x+2}=2^{3x-3}\\ \\ 2^{8x+3}=2^{3x-3}\\ \\ 8x+3=3x-3\\ \\ 5x=6\\ \\ x=\frac{6}{5}$