Answer
$x=\dfrac{10}{3}$
Work Step by Step
We have $6x-11=243^{2/5}$
Re-write as: $ 6x-11= (3^5)^{2/5}$
or, $6x-11 =3^2$
or, $6x =120 \implies x=\dfrac{10}{3}$
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