3x^(5/3)=24? Solve for x.?

If you meant 3*x^(5/3) = 24 then...

x^(5/3)=8
x^(5/3)=2^3
x = (2^3)^(3/5)
x = 2^(3*3/5)
x = 2^(9/5)
x ~ 3.4822

If you meant (3x)^(5/3) = 24 then...

3x = 24^(3/5)
x = 1/3*24^(3/5)
x ~ 2.2439

x^(5/3) = 8
x = 8^(3/5)
x = 8^(0.6)
x = 3.48

3x^(5/3) = 24
x^(5/3) = 24/3
x^(5/3) = 8
x = 8^(3/5)
x = ⁵√8^3
x = ⁵√512
x = 2(⁵√16)

3x^(5/3) = 24
log (base of 3x) 24 = 5/3

x= 1.789

2.5667 or if you list the pythagoram theorem it might by y/z - 15.22226565