Question

What is the solution of the equation?

Answer 1

Answer:

30

Step-by-step explanation:

Subtract the 3 from both sides of the equation.

$3\sqrt[5]{(x+2)^{3} } +3-3=27-3$

$3\sqrt[5]{(x+2)^{3} }=24$

Divide both sides of the equation by 3

$\frac{3\sqrt[5]{(x+2)^{3} } }{3}=\frac{24}{3}$

$\sqrt[5]{(x+2)^3}=8$

Raise both sides of the equation to the 5th power

$(\sqrt[5]{(x+2)^3})^5 =8^5$

$(x+2)^3 =32768$

Take the cube root of both sides of the equation

$\sqrt[3]{(x+2)^3}=\sqrt[3]{32768}$

$x+2=32$

Subtract 2 on both sides of the equation

$x+2-2=32-2$

$x=30$