Can You Find x?

[nycmathguy]

Solve x^(x + 4) = cuberoot{x} for x.

 

[MathLover1]

x^(x+4)=x^(1/3)....since base is same, exponents are same too

so, x+4=1/3
x=1/3-4
x=-11/3

=> true

 

[nycmathguy]

x^(x+4)=x^(1/3)....since base is same, exponents are same too

so, x+4=1/3
x=1/3-4
x=-11/3

=> true

A nice algebra problem.