Question

y=√x*ln(x³+1)
solve for x

Answer 1

e^Y=(X^3+1)/e^X^0.5     it is the answer i think 

Answer 2

$y= \sqrt{x} log(x^3+1)=0$
$= \sqrt{x} log((x+1)(x^2-x+1))=0$
x cannot be -1 because log (0) is not defined
therefore 
x=0 is one  solution(root)