8^{2x}*(1/4)^{x-2}=4^{-x}(1/2)^{2-x}
You asked:
Solve the equation \({8}^{2 x} \cdot {\left( \frac{1}{4} \right)}^{x - 2} = {4}^{-x} \cdot {\left( \frac{1}{2} \right)}^{2 - x}\) for the variable \(x\).
MathBot Answer:
The solution is: \[x = - \frac{6}{5} = -1.2\]