Question

Find the x if (2/9) 3 X (2/9) -6 = (2/9) 2x-1

Answer 1

9.

`((2)/(9))^3*((2)/(9))^(-6)=((2)/(9))^(2x-1)`

express the left hand side as:

`\begin{gathered} ((2)/(9))^(3-6)=((2)/(9))^(2x-1) \\ ((2)/(9))^(-3)=((2)/(9))^(2x-1) \end{gathered}`

The exponents must be equal, therefore:

`\begin{gathered} -3=2x-1 \\ \end{gathered}`

solve for x:

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