The equation is
.
(Subtract 6 from each side)
(Apply additive inverse property:
)
(Subtract:
)
For any real number b and for any positive integer n,
.

Apply power of five on each side and eliminate fifth roots.
\

(Add 2 to each side)
(Apply additive inverse property:
)
(Add:
)
(Divide each side by 3)
(Cancel common terms)
CHECK:-
\To check the solution, substitute
in
.

(Subtract:
)
(Power of
)
(Add:
)
The solution is true.
The value of
.