solve for (image attached)[tex]8 = {2}^{2x - 1} [/tex]a) 2b) 3c) 4d) 8

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