Answer:
x = 11
Step-by-step explanation:
Take the fifth root on both sides.
27(x-2) = 3^5
27x-54 = 3^5
27x = 243 + 54
27x = 297
x = 297/27
[tex]x = 11 \\ [/tex]
[tex] \sqrt[5]{27(x - 2)} = 3 \\ { (\sqrt[5]{27(x - 2} )}^{5} = {3}^{5} \\ 27(x - 2) = 243 \\ 27x - 54 = 243 \\ 27x = 243 + 54 \\ 27x = 297 \\ \frac{27x}{27} = \frac{297}{27} \\ x = 11[/tex]
