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Answer :

Simplify the equation.

[tex]\begin{gathered} 8=2^{2x-1} \\ 2^3=2^{2x-1} \end{gathered}[/tex]

So on compare the power terms of equation, 2x - 1 = 3.

Simplify the equation to obtain the value of x.

[tex]\begin{gathered} 2x-1=3 \\ 2x=4 \\ x=\frac{4}{2} \\ =2 \end{gathered}[/tex]

So value of x is 2.

Answer: 2