Question

IF
2x{(256/81)x}1/4 = 64/9,
find the value of x.

Answer 1

$$\begin{gathered} 2\times \left\{\left(\frac{256}{81}\right)x\right\}\times \frac{1}{4}=\frac{64}{9} \\ \left(\frac{256}{81}\right)\times x\times \frac{1}{2}=\frac{64}{9} \\ x=\frac{64\times 2\times 81}{9\times 256}=\frac{9}{2} \\ x=4.5 \end{gathered}$$