Question

Solve for (image attached)
`8 = {2}^(2x - 1)`a) 2b) 3c) 4d) 8

Answer 1

Simplify the equation.

`\begin{gathered} 8=2^(2x-1) \\ 2^3=2^(2x-1) \end{gathered}`

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

Simplify the equation to obtain the value of x.

`\begin{gathered} 2x-1=3 \\ 2x=4 \\ x=(4)/(2) \\ =2 \end{gathered}`

So value of x is 2.

Answer: 2