(x-2)e2/3=49 (x - 2) ^(2 / 3) = 49

Question

(x-2)e2/3=49

`(x - 2) ^(2 / 3) = 49`

Answer 1

`\bf (x-2)^(2/ 3)=49\implies (x-2)^{(2)/(3)}=7^2\implies \stackrel{\textit{raising both sides by }(3)/(2)}{\left( (x-2)^{(2)/(3)} \right)^{(3)/(2)}=(7^2)^{(3)/(2)}} \\\\\\ (x-2)^{(2)/(3)\cdot (3)/(2)}=7^3\implies (x-2)^1=7^3\implies x=7^3+2\implies x=345`