Question

find all real solutions
(x-2)^(4/5)=2

Answer 1

\[(x-2)^{\frac{ 4 }{ 5 }}=2\]

Answer 2

\[\left\{ \left( x-2 \right)^{\frac{ 4 }{ 5 }} \right\}^{\frac{ 5 }{ 4 }}=2^{\frac{ 5 }{ 4 }}\]
can you complete now?

Answer 3

Hint: \[(x^a)^b = x ^{ab}\]