Answer:
x is equal to 29.
Step-by-step explanation:
[tex]3(x - 2)^{\frac{4}{3}} = 243\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2)^{\frac{4}{3}} = 243 / 3\\(x - 2) =( 243 / 3)^{\frac{3}{4}}\\x - 2 = 81^{\frac{3}{4}}\\x = 3^3 + 2\\x = 27 + 2\\x = 29[/tex]
