Answer
$\{1,9\}$
Work Step by Step
Step 1. Given the equation as $(x-3)^{2/5}=(4x)^{1/5}$
Step 2. Raise both sides to the 5th power to get: $(x-3)^2=4x$ or $x^2-10x+9=0$ which gives $x=1,9$
Step 3. Check answers in the original equation: $\{1,9\}$ fit.
