Answer:
30
Step-by-step explanation:
Subtract the 3 from both sides of the equation.
[tex]3\sqrt[5]{(x+2)^{3} } +3-3=27-3[/tex]
[tex]3\sqrt[5]{(x+2)^{3} }=24[/tex]
Divide both sides of the equation by 3
[tex]\frac{3\sqrt[5]{(x+2)^{3} } }{3}=\frac{24}{3}[/tex]
[tex]\sqrt[5]{(x+2)^3}=8[/tex]
Raise both sides of the equation to the 5th power
[tex](\sqrt[5]{(x+2)^3})^5 =8^5[/tex]
[tex](x+2)^3 =32768[/tex]
Take the cube root of both sides of the equation
[tex]\sqrt[3]{(x+2)^3}=\sqrt[3]{32768}[/tex]
[tex]x+2=32[/tex]
Subtract 2 on both sides of the equation
[tex]x+2-2=32-2[/tex]
[tex]x=30[/tex]
